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Finding the Third Proportional to 90,624 and 198,762

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Solution

The third proportional to 90,624 and 198,762 is: 435,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,624 : 198,762 = 198,762 : x
  2. Step 2: Convert to fraction form
    90,624/198,762 = 198,762/x
  3. Step 3: Cross multiply
    90,624x = 198,762 × 198,762
  4. Step 4: Simplify right side
    90,624x = 39,506,332,644
  5. Step 5: Solve for x
    x = 39,506,332,644/90,624
  6. Step 6: Final answer
    x = 435,936.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.