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Finding the Third Proportional to 98,849 and 217,375

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Solution

The third proportional to 98,849 and 217,375 is: 478,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,849 : 217,375 = 217,375 : x
  2. Step 2: Convert to fraction form
    98,849/217,375 = 217,375/x
  3. Step 3: Cross multiply
    98,849x = 217,375 × 217,375
  4. Step 4: Simplify right side
    98,849x = 47,251,890,625
  5. Step 5: Solve for x
    x = 47,251,890,625/98,849
  6. Step 6: Final answer
    x = 478,020.93

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