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A Dalitz plot analysis of approximately 12 500 ${D}^{0}$ events reconstructed in the hadronic decay ${D}^{0}\ensuremath{\rightarrow}{\overline{K}}^{0}{K}^{+}{K}^{\ensuremath{-}}$ is presented. This analysis is based on a data sample of $91.5\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected with the BABAR detector at the PEP-II asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ storage rings at SLAC running at center-of-mass energies on and …