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Finding the Third Proportional to 109,650 and 227,919

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Solution

The third proportional to 109,650 and 227,919 is: 473,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650 : 227,919 = 227,919 : x
  2. Step 2: Convert to fraction form
    109,650/227,919 = 227,919/x
  3. Step 3: Cross multiply
    109,650x = 227,919 × 227,919
  4. Step 4: Simplify right side
    109,650x = 51,947,070,561
  5. Step 5: Solve for x
    x = 51,947,070,561/109,650
  6. Step 6: Final answer
    x = 473,753.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.