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Finding the Third Proportional to 95,967 and 198,081

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Solution

The third proportional to 95,967 and 198,081 is: 408,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967 : 198,081 = 198,081 : x
  2. Step 2: Convert to fraction form
    95,967/198,081 = 198,081/x
  3. Step 3: Cross multiply
    95,967x = 198,081 × 198,081
  4. Step 4: Simplify right side
    95,967x = 39,236,082,561
  5. Step 5: Solve for x
    x = 39,236,082,561/95,967
  6. Step 6: Final answer
    x = 408,849.74

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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.