Given that the patient is receiving $3 \mathrm{mEq}$ of sodium chloride per $\mathrm{kg}$ of body weight and weighs $70 \mathrm{kg}$, the total amount of sodium chloride needed can be calculated as:
$3 \mathrm{mEq/kg} \times 70 \mathrm{kg} = 210 \mathrm{mEq}$
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