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Finding the Third Proportional to 47,238.38 and 103,691.63

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Solution

The third proportional to 47,238.38 and 103,691.63 is: 227,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238.38 : 103,691.63 = 103,691.63 : x
  2. Step 2: Convert to fraction form
    47,238.38/103,691.63 = 103,691.63/x
  3. Step 3: Cross multiply
    47,238.38x = 103,691.63 × 103,691.63
  4. Step 4: Simplify right side
    47,238.38x = 10,751,953,095.14
  5. Step 5: Solve for x
    x = 10,751,953,095.14/47,238.38
  6. Step 6: Final answer
    x = 227,610.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.