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Finding the Third Proportional to 96,482 and 149,098

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Solution

The third proportional to 96,482 and 149,098 is: 230,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,482 : 149,098 = 149,098 : x
  2. Step 2: Convert to fraction form
    96,482/149,098 = 149,098/x
  3. Step 3: Cross multiply
    96,482x = 149,098 × 149,098
  4. Step 4: Simplify right side
    96,482x = 22,230,213,604
  5. Step 5: Solve for x
    x = 22,230,213,604/96,482
  6. Step 6: Final answer
    x = 230,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.