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Finding the Third Proportional to 95,644.97 and 208,775.25

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Solution

The third proportional to 95,644.97 and 208,775.25 is: 455,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,644.97 : 208,775.25 = 208,775.25 : x
  2. Step 2: Convert to fraction form
    95,644.97/208,775.25 = 208,775.25/x
  3. Step 3: Cross multiply
    95,644.97x = 208,775.25 × 208,775.25
  4. Step 4: Simplify right side
    95,644.97x = 43,587,105,012.56
  5. Step 5: Solve for x
    x = 43,587,105,012.56/95,644.97
  6. Step 6: Final answer
    x = 455,717.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.