Answer
$$
1.28 \times 10^{10} \mathrm{\ ly}
$$
Work Step by Step
$\text { From Eq. } 44-19 \text { , } $
$$
r=\frac{v}{H}=\frac{\beta c}{H}=\frac{(0.934)\left(3.0 \times 10^{8} \mathrm{m} / \mathrm{s}\right)}{0.0218 \mathrm{m} / \mathrm{s} \cdot 1 \mathrm{y}}=1.28 \times 10^{10} \mathrm{\ ly}
$$
