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Finding the Third Proportional to 47,910 and 104,217

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Solution

The third proportional to 47,910 and 104,217 is: 226,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,910 : 104,217 = 104,217 : x
  2. Step 2: Convert to fraction form
    47,910/104,217 = 104,217/x
  3. Step 3: Cross multiply
    47,910x = 104,217 × 104,217
  4. Step 4: Simplify right side
    47,910x = 10,861,183,089
  5. Step 5: Solve for x
    x = 10,861,183,089/47,910
  6. Step 6: Final answer
    x = 226,699.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.