Break down the aqueous compounds into their ions. For H₃PO₄, it dissociates into 6H⁺(aq) and 2PO₄³⁻(aq). For Ba(OH)₂, it dissociates into 3Ba²⁺(aq) and 6OH⁻(aq).
Recognize that Ba₃(PO₄)₂ is a solid and does not dissociate into ions in the solution. Water (H₂O) is a liquid and remains as molecules.
Combine the ions from the reactants and products to form the total ionic equation: 6H⁺(aq) + 2PO₄³⁻(aq) + 3Ba²⁺(aq) + 6OH⁻(aq) → Ba₃(PO₄)₂(s) + 6H₂O(l).