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Finding the Third Proportional to 47,377.31 and 103,656.56

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Solution

The third proportional to 47,377.31 and 103,656.56 is: 226,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377.31 : 103,656.56 = 103,656.56 : x
  2. Step 2: Convert to fraction form
    47,377.31/103,656.56 = 103,656.56/x
  3. Step 3: Cross multiply
    47,377.31x = 103,656.56 × 103,656.56
  4. Step 4: Simplify right side
    47,377.31x = 10,744,682,949.32
  5. Step 5: Solve for x
    x = 10,744,682,949.32/47,377.31
  6. Step 6: Final answer
    x = 226,789.63

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