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Finding the Third Proportional to 95,978 and 198,103

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Solution

The third proportional to 95,978 and 198,103 is: 408,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,978 : 198,103 = 198,103 : x
  2. Step 2: Convert to fraction form
    95,978/198,103 = 198,103/x
  3. Step 3: Cross multiply
    95,978x = 198,103 × 198,103
  4. Step 4: Simplify right side
    95,978x = 39,244,798,609
  5. Step 5: Solve for x
    x = 39,244,798,609/95,978
  6. Step 6: Final answer
    x = 408,893.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.