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Finding the Third Proportional to 104,631.75 and 227,944.13

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Solution

The third proportional to 104,631.75 and 227,944.13 is: 496,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,631.75 : 227,944.13 = 227,944.13 : x
  2. Step 2: Convert to fraction form
    104,631.75/227,944.13 = 227,944.13/x
  3. Step 3: Cross multiply
    104,631.75x = 227,944.13 × 227,944.13
  4. Step 4: Simplify right side
    104,631.75x = 51,958,524,122.02
  5. Step 5: Solve for x
    x = 51,958,524,122.02/104,631.75
  6. Step 6: Final answer
    x = 496,584.68

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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.