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Finding the Third Proportional to 103,217 and 218,839

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Solution

The third proportional to 103,217 and 218,839 is: 463,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,217 : 218,839 = 218,839 : x
  2. Step 2: Convert to fraction form
    103,217/218,839 = 218,839/x
  3. Step 3: Cross multiply
    103,217x = 218,839 × 218,839
  4. Step 4: Simplify right side
    103,217x = 47,890,507,921
  5. Step 5: Solve for x
    x = 47,890,507,921/103,217
  6. Step 6: Final answer
    x = 463,978.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.