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Finding the Third Proportional to 95,061.38 and 206,544.38

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Solution

The third proportional to 95,061.38 and 206,544.38 is: 448,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,061.38 : 206,544.38 = 206,544.38 : x
  2. Step 2: Convert to fraction form
    95,061.38/206,544.38 = 206,544.38/x
  3. Step 3: Cross multiply
    95,061.38x = 206,544.38 × 206,544.38
  4. Step 4: Simplify right side
    95,061.38x = 42,660,578,844.14
  5. Step 5: Solve for x
    x = 42,660,578,844.14/95,061.38
  6. Step 6: Final answer
    x = 448,768.80

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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.