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Finding the Third Proportional to 99,473 and 203,542

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Solution

The third proportional to 99,473 and 203,542 is: 416,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,473 : 203,542 = 203,542 : x
  2. Step 2: Convert to fraction form
    99,473/203,542 = 203,542/x
  3. Step 3: Cross multiply
    99,473x = 203,542 × 203,542
  4. Step 4: Simplify right side
    99,473x = 41,429,345,764
  5. Step 5: Solve for x
    x = 41,429,345,764/99,473
  6. Step 6: Final answer
    x = 416,488.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.