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Finding the Third Proportional to 95,037 and 207,891

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Solution

The third proportional to 95,037 and 207,891 is: 454,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,037 : 207,891 = 207,891 : x
  2. Step 2: Convert to fraction form
    95,037/207,891 = 207,891/x
  3. Step 3: Cross multiply
    95,037x = 207,891 × 207,891
  4. Step 4: Simplify right side
    95,037x = 43,218,667,881
  5. Step 5: Solve for x
    x = 43,218,667,881/95,037
  6. Step 6: Final answer
    x = 454,756.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.