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Finding the Third Proportional to 95,866 and 201,668

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Solution

The third proportional to 95,866 and 201,668 is: 424,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,866 : 201,668 = 201,668 : x
  2. Step 2: Convert to fraction form
    95,866/201,668 = 201,668/x
  3. Step 3: Cross multiply
    95,866x = 201,668 × 201,668
  4. Step 4: Simplify right side
    95,866x = 40,669,982,224
  5. Step 5: Solve for x
    x = 40,669,982,224/95,866
  6. Step 6: Final answer
    x = 424,237.81

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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.