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Finding the Third Proportional to 95,838 and 207,966

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Solution

The third proportional to 95,838 and 207,966 is: 451,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,838 : 207,966 = 207,966 : x
  2. Step 2: Convert to fraction form
    95,838/207,966 = 207,966/x
  3. Step 3: Cross multiply
    95,838x = 207,966 × 207,966
  4. Step 4: Simplify right side
    95,838x = 43,249,857,156
  5. Step 5: Solve for x
    x = 43,249,857,156/95,838
  6. Step 6: Final answer
    x = 451,280.88

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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.