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Finding the Third Proportional to 100,614 and 217,632

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Solution

The third proportional to 100,614 and 217,632 is: 470,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614 : 217,632 = 217,632 : x
  2. Step 2: Convert to fraction form
    100,614/217,632 = 217,632/x
  3. Step 3: Cross multiply
    100,614x = 217,632 × 217,632
  4. Step 4: Simplify right side
    100,614x = 47,363,687,424
  5. Step 5: Solve for x
    x = 47,363,687,424/100,614
  6. Step 6: Final answer
    x = 470,746.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.