The Tampa Bay Rays have the government backing the team needs to build a long-sought-after ballpark. The Pinellas County Commissioners approved on Tuesday the west-central Florida county’s share of the funding for the 30,000-seat stadium. The deal will guarantee the team stays put for at least 30 years. The county voted 5-2 to approve spending about $312.5 million for its share of the ballpark costs from revenue generated by a bed tax. The St. Petersburg City Council approved spending $417.5 million for the stadium earlier this month. The $1.3 billion ballpark is part of a broader $6.5 billion redevelopment project that supporters say would transform an 86-acre tract in the city’s downtown.