Answer
$\frac{F_{Sun}}{F_{Earth}} = 2.2$
Work Step by Step
We can write an expression for $F_{Sun}$:
$F_{Sun} = \frac{G~M_S~M_M}{d_S^2}$
We can write an expression for $F_{Earth}$:
$F_{Earth} = \frac{G~M_E~M_M}{d_E^2}$
We can find $\frac{F_{Sun}}{F_{Earth}}$:
$\frac{F_{Sun}}{F_{Earth}} = \frac{\frac{G~M_S~M_M}{d_S^2}}{\frac{G~M_E~M_M}{d_E^2}}$
$\frac{F_{Sun}}{F_{Earth}} = \frac{M_S~d_E^2}{M_E~d_S^2}$
$\frac{F_{Sun}}{F_{Earth}} = \frac{(2.0\times 10^{30}~kg)~(3.82\times 10^8~m)^2}{(5.98\times 10^{24}~kg)~(1.5\times 10^{11}~m)^2}$
$\frac{F_{Sun}}{F_{Earth}} = 2.2$
