Given that the elixir contains 10 mg of active ingredient per 5 mL, we can calculate the total amount in 100 mL:
$10 \mathrm{mg} / 5 \mathrm{mL} = 2 \mathrm{mg} / 1 \mathrm{mL}$
$2 \mathrm{mg} / 1 \mathrm{mL} \times 100 \mathrm{mL} = 200 \mathrm{mg}$
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