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Finding the Third Proportional to 47,385 and 101,910.66

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Solution

The third proportional to 47,385 and 101,910.66 is: 219,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385 : 101,910.66 = 101,910.66 : x
  2. Step 2: Convert to fraction form
    47,385/101,910.66 = 101,910.66/x
  3. Step 3: Cross multiply
    47,385x = 101,910.66 × 101,910.66
  4. Step 4: Simplify right side
    47,385x = 10,385,781,857.31
  5. Step 5: Solve for x
    x = 10,385,781,857.31/47,385
  6. Step 6: Final answer
    x = 219,178.68

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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.