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Finding the Third Proportional to 102,691.75 and 222,231.50

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Solution

The third proportional to 102,691.75 and 222,231.50 is: 480,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,691.75 : 222,231.50 = 222,231.50 : x
  2. Step 2: Convert to fraction form
    102,691.75/222,231.50 = 222,231.50/x
  3. Step 3: Cross multiply
    102,691.75x = 222,231.50 × 222,231.50
  4. Step 4: Simplify right side
    102,691.75x = 49,386,839,592.25
  5. Step 5: Solve for x
    x = 49,386,839,592.25/102,691.75
  6. Step 6: Final answer
    x = 480,923.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.