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Finding the Third Proportional to 44,384 and 95,720

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Solution

The third proportional to 44,384 and 95,720 is: 206,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,384 : 95,720 = 95,720 : x
  2. Step 2: Convert to fraction form
    44,384/95,720 = 95,720/x
  3. Step 3: Cross multiply
    44,384x = 95,720 × 95,720
  4. Step 4: Simplify right side
    44,384x = 9,162,318,400
  5. Step 5: Solve for x
    x = 9,162,318,400/44,384
  6. Step 6: Final answer
    x = 206,432.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.