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Finding the Third Proportional to 95,612 and 207,808

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Solution

The third proportional to 95,612 and 207,808 is: 451,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,612 : 207,808 = 207,808 : x
  2. Step 2: Convert to fraction form
    95,612/207,808 = 207,808/x
  3. Step 3: Cross multiply
    95,612x = 207,808 × 207,808
  4. Step 4: Simplify right side
    95,612x = 43,184,164,864
  5. Step 5: Solve for x
    x = 43,184,164,864/95,612
  6. Step 6: Final answer
    x = 451,660.51

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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.