If $x_n$ is a geometric sequence with common ratio $r$ such that $x_1 + x_2 + x_3 = 13$ and $x_1^2 + x_2^2 + x_3^2 = 91$, what is the sum of the infinite series $x_1 + x_1r + x_1r^2 + \dots$ assuming $|r| < 1$?