"It's unbelievable. It's something you can't explain," Lobaton said. "We never give up. We're going to keep fighting."
Back home after two weeks on the road, the Rays gave a sellout crowd of 33,675 little to cheer until Longoria homered on his 28th birthday. His three-run shot off starter Clay Buchholz with two outs in the fifth rallied Tampa Bay to a 3-all tie.
Pinch-hitter Delmon Young, who has a penchant for driving home key runs in October, put the Rays ahead 4-3 with an RBI grounder in the eighth.
The Red Sox tied it in the ninth against closer Fernando Rodney. Dustin Pedroia's RBI grounder made it 4-all.
With a runner on third, pinch-hitter Mike Carp was called out on strikes to end the inning. Carp batted for Quintin Berry, who entered as a pinch-runner for David Ortiz in the eighth.
Berry stole second on a close play that drew an argument from Rays manager Joe Maddon. But when Ortiz's spot came up again in the ninth, Boston's big slugger was out of the game.
"We look at the positive that we battled back against their closer to tie the game," Victorino said. "It's still 2-1. We're still in the driver's seat. We control our own destiny."
Rodney got the win when Lobaton golfed a low pitch to right-center. The ball deflected off a fan trying to catch the souvenir and wound up in the 10,000-gallon tank where cownose rays swim around.
Maddon said he was studying his lineup card when he heard the crack of the bat.
"Look up and the ball is going towards the tank, which, nobody hits home runs there. Nobody does. How about that? It's incredible," he said.
The Rays won three must-win road games in three cities over four days just to get into the division series, so they felt good about their chances of coming back against the Red Sox.