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Finding the Third Proportional to 90,523 and 198,967

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Solution

The third proportional to 90,523 and 198,967 is: 437,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,523 : 198,967 = 198,967 : x
  2. Step 2: Convert to fraction form
    90,523/198,967 = 198,967/x
  3. Step 3: Cross multiply
    90,523x = 198,967 × 198,967
  4. Step 4: Simplify right side
    90,523x = 39,587,867,089
  5. Step 5: Solve for x
    x = 39,587,867,089/90,523
  6. Step 6: Final answer
    x = 437,323.85

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Why These Related Problems?

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