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Finding the Third Proportional to 44,400 and 95,388

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Solution

The third proportional to 44,400 and 95,388 is: 204,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,400 : 95,388 = 95,388 : x
  2. Step 2: Convert to fraction form
    44,400/95,388 = 95,388/x
  3. Step 3: Cross multiply
    44,400x = 95,388 × 95,388
  4. Step 4: Simplify right side
    44,400x = 9,098,870,544
  5. Step 5: Solve for x
    x = 9,098,870,544/44,400
  6. Step 6: Final answer
    x = 204,929.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.