A student mixes \(50.0 \, \text{mL}\) of \(0.20 \, \text{M}\) \(\text{FeCl}_3\text{(aq)}\) with \(50.0 \, \text{mL}\) of \(0.50 \, \text{M}\) \(\text{NaOH}\text{(aq)}\) at \(25^\circ\text{C}\), causing a precipitate of \(\text{Fe(OH)}_3\text{(s)}\) to form according to the balanced equation below.

\[ \text{FeCl}_3\text{(aq)} + 3\text{NaOH}\text{(aq)} \rightarrow \text{Fe(OH)}_3\text{(s)} + 3\text{NaCl}\text{(aq)} \]

Which of the following identifies the limiting reactant and provides the correct justification?