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Finding the Third Proportional to 95,471 and 205,696

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Solution

The third proportional to 95,471 and 205,696 is: 443,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,471 : 205,696 = 205,696 : x
  2. Step 2: Convert to fraction form
    95,471/205,696 = 205,696/x
  3. Step 3: Cross multiply
    95,471x = 205,696 × 205,696
  4. Step 4: Simplify right side
    95,471x = 42,310,844,416
  5. Step 5: Solve for x
    x = 42,310,844,416/95,471
  6. Step 6: Final answer
    x = 443,180.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.