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Finding the Third Proportional to 47,436 and 99,231

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Solution

The third proportional to 47,436 and 99,231 is: 207,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,436 : 99,231 = 99,231 : x
  2. Step 2: Convert to fraction form
    47,436/99,231 = 99,231/x
  3. Step 3: Cross multiply
    47,436x = 99,231 × 99,231
  4. Step 4: Simplify right side
    47,436x = 9,846,791,361
  5. Step 5: Solve for x
    x = 9,846,791,361/47,436
  6. Step 6: Final answer
    x = 207,580.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.