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Finding the Third Proportional to 44,147 and 95,819

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Solution

The third proportional to 44,147 and 95,819 is: 207,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,147 : 95,819 = 95,819 : x
  2. Step 2: Convert to fraction form
    44,147/95,819 = 95,819/x
  3. Step 3: Cross multiply
    44,147x = 95,819 × 95,819
  4. Step 4: Simplify right side
    44,147x = 9,181,280,761
  5. Step 5: Solve for x
    x = 9,181,280,761/44,147
  6. Step 6: Final answer
    x = 207,970.66

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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.