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Finding the Third Proportional to 95,356 and 205,698

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Solution

The third proportional to 95,356 and 205,698 is: 443,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,356 : 205,698 = 205,698 : x
  2. Step 2: Convert to fraction form
    95,356/205,698 = 205,698/x
  3. Step 3: Cross multiply
    95,356x = 205,698 × 205,698
  4. Step 4: Simplify right side
    95,356x = 42,311,667,204
  5. Step 5: Solve for x
    x = 42,311,667,204/95,356
  6. Step 6: Final answer
    x = 443,723.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.