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Finding the Third Proportional to 106,918 and 229,632

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Solution

The third proportional to 106,918 and 229,632 is: 493,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918 : 229,632 = 229,632 : x
  2. Step 2: Convert to fraction form
    106,918/229,632 = 229,632/x
  3. Step 3: Cross multiply
    106,918x = 229,632 × 229,632
  4. Step 4: Simplify right side
    106,918x = 52,730,855,424
  5. Step 5: Solve for x
    x = 52,730,855,424/106,918
  6. Step 6: Final answer
    x = 493,189.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.