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Finding the Third Proportional to 104,620.31 and 227,923.88

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Solution

The third proportional to 104,620.31 and 227,923.88 is: 496,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,620.31 : 227,923.88 = 227,923.88 : x
  2. Step 2: Convert to fraction form
    104,620.31/227,923.88 = 227,923.88/x
  3. Step 3: Cross multiply
    104,620.31x = 227,923.88 × 227,923.88
  4. Step 4: Simplify right side
    104,620.31x = 51,949,292,795.02
  5. Step 5: Solve for x
    x = 51,949,292,795.02/104,620.31
  6. Step 6: Final answer
    x = 496,550.73

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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.