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Finding the Third Proportional to 95,668 and 208,564

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Solution

The third proportional to 95,668 and 208,564 is: 454,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,668 : 208,564 = 208,564 : x
  2. Step 2: Convert to fraction form
    95,668/208,564 = 208,564/x
  3. Step 3: Cross multiply
    95,668x = 208,564 × 208,564
  4. Step 4: Simplify right side
    95,668x = 43,498,942,096
  5. Step 5: Solve for x
    x = 43,498,942,096/95,668
  6. Step 6: Final answer
    x = 454,686.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.