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Finding the Third Proportional to 95,658.25 and 208,539.75

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Solution

The third proportional to 95,658.25 and 208,539.75 is: 454,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,658.25 : 208,539.75 = 208,539.75 : x
  2. Step 2: Convert to fraction form
    95,658.25/208,539.75 = 208,539.75/x
  3. Step 3: Cross multiply
    95,658.25x = 208,539.75 × 208,539.75
  4. Step 4: Simplify right side
    95,658.25x = 43,488,827,330.06
  5. Step 5: Solve for x
    x = 43,488,827,330.06/95,658.25
  6. Step 6: Final answer
    x = 454,627.04

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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.