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Finding the Third Proportional to 96,941 and 207,922

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Solution

The third proportional to 96,941 and 207,922 is: 445,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,941 : 207,922 = 207,922 : x
  2. Step 2: Convert to fraction form
    96,941/207,922 = 207,922/x
  3. Step 3: Cross multiply
    96,941x = 207,922 × 207,922
  4. Step 4: Simplify right side
    96,941x = 43,231,558,084
  5. Step 5: Solve for x
    x = 43,231,558,084/96,941
  6. Step 6: Final answer
    x = 445,957.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.