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Finding the Third Proportional to 47,174.27 and 101,336.70

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Solution

The third proportional to 47,174.27 and 101,336.70 is: 217,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174.27 : 101,336.70 = 101,336.70 : x
  2. Step 2: Convert to fraction form
    47,174.27/101,336.70 = 101,336.70/x
  3. Step 3: Cross multiply
    47,174.27x = 101,336.70 × 101,336.70
  4. Step 4: Simplify right side
    47,174.27x = 10,269,125,816.86
  5. Step 5: Solve for x
    x = 10,269,125,816.86/47,174.27
  6. Step 6: Final answer
    x = 217,684.88

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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.