Final answer:
The stage in question is Interphase, which includes G1 phase for cellular growth, S phase for DNA replication, and G2 phase for final preparations for cell division.
Step-by-step explanation:
The stage of the cell cycle where cellular metabolic activity increases, chromosomes and organelles duplicate, representing about 90% of the cell cycle, is called Interphase. This phase is crucial for cell growth and preparation for division and consists of three main stages: G1 phase (Growth Phase 1), where cells grow and perform routine functions, S phase (Synthesis Phase), where DNA replication occurs, and G2 phase (Growth Phase 2), where the cell makes final preparations to divide. Throughout interphase, the cell also synthesizes proteins and other materials necessary for the subsequent mitotic phase.