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Finding the Third Proportional to 47,997.56 and 103,353.47

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Solution

The third proportional to 47,997.56 and 103,353.47 is: 222,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997.56 : 103,353.47 = 103,353.47 : x
  2. Step 2: Convert to fraction form
    47,997.56/103,353.47 = 103,353.47/x
  3. Step 3: Cross multiply
    47,997.56x = 103,353.47 × 103,353.47
  4. Step 4: Simplify right side
    47,997.56x = 10,681,939,502.66
  5. Step 5: Solve for x
    x = 10,681,939,502.66/47,997.56
  6. Step 6: Final answer
    x = 222,551.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.