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Finding the Third Proportional to 99,867 and 151,845

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Solution

The third proportional to 99,867 and 151,845 is: 230,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,867 : 151,845 = 151,845 : x
  2. Step 2: Convert to fraction form
    99,867/151,845 = 151,845/x
  3. Step 3: Cross multiply
    99,867x = 151,845 × 151,845
  4. Step 4: Simplify right side
    99,867x = 23,056,904,025
  5. Step 5: Solve for x
    x = 23,056,904,025/99,867
  6. Step 6: Final answer
    x = 230,876.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.