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Finding the Third Proportional to 47,214.56 and 103,732.31

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Solution

The third proportional to 47,214.56 and 103,732.31 is: 227,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214.56 : 103,732.31 = 103,732.31 : x
  2. Step 2: Convert to fraction form
    47,214.56/103,732.31 = 103,732.31/x
  3. Step 3: Cross multiply
    47,214.56x = 103,732.31 × 103,732.31
  4. Step 4: Simplify right side
    47,214.56x = 10,760,392,656.60
  5. Step 5: Solve for x
    x = 10,760,392,656.60/47,214.56
  6. Step 6: Final answer
    x = 227,904.11

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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.