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Finding the Third Proportional to 47,901.38 and 104,110.31

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Solution

The third proportional to 47,901.38 and 104,110.31 is: 226,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,901.38 : 104,110.31 = 104,110.31 : x
  2. Step 2: Convert to fraction form
    47,901.38/104,110.31 = 104,110.31/x
  3. Step 3: Cross multiply
    47,901.38x = 104,110.31 × 104,110.31
  4. Step 4: Simplify right side
    47,901.38x = 10,838,957,168.85
  5. Step 5: Solve for x
    x = 10,838,957,168.85/47,901.38
  6. Step 6: Final answer
    x = 226,276.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.