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Finding the Third Proportional to 95,834.25 and 208,395

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Solution

The third proportional to 95,834.25 and 208,395 is: 453,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,834.25 : 208,395 = 208,395 : x
  2. Step 2: Convert to fraction form
    95,834.25/208,395 = 208,395/x
  3. Step 3: Cross multiply
    95,834.25x = 208,395 × 208,395
  4. Step 4: Simplify right side
    95,834.25x = 43,428,476,025
  5. Step 5: Solve for x
    x = 43,428,476,025/95,834.25
  6. Step 6: Final answer
    x = 453,162.37

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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.