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Finding the Third Proportional to 44,195 and 95,449

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Solution

The third proportional to 44,195 and 95,449 is: 206,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,195 : 95,449 = 95,449 : x
  2. Step 2: Convert to fraction form
    44,195/95,449 = 95,449/x
  3. Step 3: Cross multiply
    44,195x = 95,449 × 95,449
  4. Step 4: Simplify right side
    44,195x = 9,110,511,601
  5. Step 5: Solve for x
    x = 9,110,511,601/44,195
  6. Step 6: Final answer
    x = 206,143.49

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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.