Boozy Michelada

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4 cups tomato juice

2 cups clam-tomato juice, such as Clamato

2 cups gold tequila 

1/4 cup lime juice 

2 tablespoons prepared horseradish 

3 or 4 dashes hot sauce 

3 or 4 dashes Worcestershire sauce 

1/4 cup kosher salt 

1 teaspoon chili powder 

10 cans Mexican lager beer

Ice, for serving