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Finding the Third Proportional to 95,008 and 200,696

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Solution

The third proportional to 95,008 and 200,696 is: 423,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,008 : 200,696 = 200,696 : x
  2. Step 2: Convert to fraction form
    95,008/200,696 = 200,696/x
  3. Step 3: Cross multiply
    95,008x = 200,696 × 200,696
  4. Step 4: Simplify right side
    95,008x = 40,278,884,416
  5. Step 5: Solve for x
    x = 40,278,884,416/95,008
  6. Step 6: Final answer
    x = 423,952.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.