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Finding the Third Proportional to 47,545.31 and 100,396.13

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Solution

The third proportional to 47,545.31 and 100,396.13 is: 211,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,545.31 : 100,396.13 = 100,396.13 : x
  2. Step 2: Convert to fraction form
    47,545.31/100,396.13 = 100,396.13/x
  3. Step 3: Cross multiply
    47,545.31x = 100,396.13 × 100,396.13
  4. Step 4: Simplify right side
    47,545.31x = 10,079,381,915.02
  5. Step 5: Solve for x
    x = 10,079,381,915.02/47,545.31
  6. Step 6: Final answer
    x = 211,995.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.