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Finding the Third Proportional to 45,436 and 99,531

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Solution

The third proportional to 45,436 and 99,531 is: 218,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,436 : 99,531 = 99,531 : x
  2. Step 2: Convert to fraction form
    45,436/99,531 = 99,531/x
  3. Step 3: Cross multiply
    45,436x = 99,531 × 99,531
  4. Step 4: Simplify right side
    45,436x = 9,906,419,961
  5. Step 5: Solve for x
    x = 9,906,419,961/45,436
  6. Step 6: Final answer
    x = 218,030.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.