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Finding the Third Proportional to 47,314.16 and 104,229.56

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Solution

The third proportional to 47,314.16 and 104,229.56 is: 229,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314.16 : 104,229.56 = 104,229.56 : x
  2. Step 2: Convert to fraction form
    47,314.16/104,229.56 = 104,229.56/x
  3. Step 3: Cross multiply
    47,314.16x = 104,229.56 × 104,229.56
  4. Step 4: Simplify right side
    47,314.16x = 10,863,800,782.86
  5. Step 5: Solve for x
    x = 10,863,800,782.86/47,314.16
  6. Step 6: Final answer
    x = 229,609.90

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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.