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Finding the Third Proportional to 104,292.56 and 227,618.86

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Solution

The third proportional to 104,292.56 and 227,618.86 is: 496,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292.56 : 227,618.86 = 227,618.86 : x
  2. Step 2: Convert to fraction form
    104,292.56/227,618.86 = 227,618.86/x
  3. Step 3: Cross multiply
    104,292.56x = 227,618.86 × 227,618.86
  4. Step 4: Simplify right side
    104,292.56x = 51,810,345,143.18
  5. Step 5: Solve for x
    x = 51,810,345,143.18/104,292.56
  6. Step 6: Final answer
    x = 496,778.91

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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.