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Finding the Third Proportional to 88,229.25 and 208,247.63

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Solution

The third proportional to 88,229.25 and 208,247.63 is: 491,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,229.25 : 208,247.63 = 208,247.63 : x
  2. Step 2: Convert to fraction form
    88,229.25/208,247.63 = 208,247.63/x
  3. Step 3: Cross multiply
    88,229.25x = 208,247.63 × 208,247.63
  4. Step 4: Simplify right side
    88,229.25x = 43,367,073,318.14
  5. Step 5: Solve for x
    x = 43,367,073,318.14/88,229.25
  6. Step 6: Final answer
    x = 491,527.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.