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Finding the Third Proportional to 44,432 and 96,882

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Solution

The third proportional to 44,432 and 96,882 is: 211,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,432 : 96,882 = 96,882 : x
  2. Step 2: Convert to fraction form
    44,432/96,882 = 96,882/x
  3. Step 3: Cross multiply
    44,432x = 96,882 × 96,882
  4. Step 4: Simplify right side
    44,432x = 9,386,121,924
  5. Step 5: Solve for x
    x = 9,386,121,924/44,432
  6. Step 6: Final answer
    x = 211,246.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.