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Finding the Third Proportional to 103,668 and 217,780

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Solution

The third proportional to 103,668 and 217,780 is: 457,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668 : 217,780 = 217,780 : x
  2. Step 2: Convert to fraction form
    103,668/217,780 = 217,780/x
  3. Step 3: Cross multiply
    103,668x = 217,780 × 217,780
  4. Step 4: Simplify right side
    103,668x = 47,428,128,400
  5. Step 5: Solve for x
    x = 47,428,128,400/103,668
  6. Step 6: Final answer
    x = 457,500.18

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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.