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Finding the Third Proportional to 95,970 and 198,087

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Solution

The third proportional to 95,970 and 198,087 is: 408,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,970 : 198,087 = 198,087 : x
  2. Step 2: Convert to fraction form
    95,970/198,087 = 198,087/x
  3. Step 3: Cross multiply
    95,970x = 198,087 × 198,087
  4. Step 4: Simplify right side
    95,970x = 39,238,459,569
  5. Step 5: Solve for x
    x = 39,238,459,569/95,970
  6. Step 6: Final answer
    x = 408,861.72

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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.