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Answer :
We start by converting cups to tablespoons. Since there are [tex]$16$[/tex] tablespoons in [tex]$1$[/tex] cup, for [tex]$3$[/tex] cups the total number of tablespoons is
[tex]$$
3 \text{ cups} \times 16 \frac{\text{tbsp}}{\text{cup}} = 48 \text{ tbsp}.
$$[/tex]
Next, we convert tablespoons to teaspoons (doses). Since [tex]$1$[/tex] tablespoon equals [tex]$3$[/tex] teaspoons, the total number of doses is
[tex]$$
48 \text{ tbsp} \times 3 \frac{\text{tsp}}{\text{tbsp}} = 144 \text{ doses}.
$$[/tex]
Thus, there are [tex]$\boxed{144}$[/tex] doses in [tex]$3$[/tex] cups.
[tex]$$
3 \text{ cups} \times 16 \frac{\text{tbsp}}{\text{cup}} = 48 \text{ tbsp}.
$$[/tex]
Next, we convert tablespoons to teaspoons (doses). Since [tex]$1$[/tex] tablespoon equals [tex]$3$[/tex] teaspoons, the total number of doses is
[tex]$$
48 \text{ tbsp} \times 3 \frac{\text{tsp}}{\text{tbsp}} = 144 \text{ doses}.
$$[/tex]
Thus, there are [tex]$\boxed{144}$[/tex] doses in [tex]$3$[/tex] cups.
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