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Finding the Third Proportional to 95,881 and 207,632

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Solution

The third proportional to 95,881 and 207,632 is: 449,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,881 : 207,632 = 207,632 : x
  2. Step 2: Convert to fraction form
    95,881/207,632 = 207,632/x
  3. Step 3: Cross multiply
    95,881x = 207,632 × 207,632
  4. Step 4: Simplify right side
    95,881x = 43,111,047,424
  5. Step 5: Solve for x
    x = 43,111,047,424/95,881
  6. Step 6: Final answer
    x = 449,630.77

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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.