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Finding the Third Proportional to 95,864 and 201,664

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Solution

The third proportional to 95,864 and 201,664 is: 424,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,864 : 201,664 = 201,664 : x
  2. Step 2: Convert to fraction form
    95,864/201,664 = 201,664/x
  3. Step 3: Cross multiply
    95,864x = 201,664 × 201,664
  4. Step 4: Simplify right side
    95,864x = 40,668,368,896
  5. Step 5: Solve for x
    x = 40,668,368,896/95,864
  6. Step 6: Final answer
    x = 424,229.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.