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Finding the Third Proportional to 93,458 and 205,599

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Solution

The third proportional to 93,458 and 205,599 is: 452,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,458 : 205,599 = 205,599 : x
  2. Step 2: Convert to fraction form
    93,458/205,599 = 205,599/x
  3. Step 3: Cross multiply
    93,458x = 205,599 × 205,599
  4. Step 4: Simplify right side
    93,458x = 42,270,948,801
  5. Step 5: Solve for x
    x = 42,270,948,801/93,458
  6. Step 6: Final answer
    x = 452,298.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.