To solve the expression \( 3 \cdot (27 + 99 \div 3) \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Start with the division inside the parentheses: \[ 99 \div 3 = 33 \]
Now substitute this back into the expression: \[ 3 \cdot (27 + 33) \]
Next, perform the addition inside the parentheses: \[ 27 + 33 = 60 \]
Now your expression is: \[ 3 \cdot 60 \]
Finally, multiply: \[ 3 \cdot 60 = 180 \]
So, the final answer is \( \boxed{180} \).