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Two similar $23\text {-gons}$ have a scale factor of $19:3$. The smaller $23\text {-gon}$ has a perimeter of $91\text { mm}$.

What is the perimeter of the larger $23\text {-gon}$?

$2.27\text { mm}$

$14.37\text { mm}$

$576.33\text { mm}$

$3650.11\text { mm}$