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Finding the Third Proportional to 104,255.16 and 227,221.31

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Solution

The third proportional to 104,255.16 and 227,221.31 is: 495,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,255.16 : 227,221.31 = 227,221.31 : x
  2. Step 2: Convert to fraction form
    104,255.16/227,221.31 = 227,221.31/x
  3. Step 3: Cross multiply
    104,255.16x = 227,221.31 × 227,221.31
  4. Step 4: Simplify right side
    104,255.16x = 51,629,524,854.22
  5. Step 5: Solve for x
    x = 51,629,524,854.22/104,255.16
  6. Step 6: Final answer
    x = 495,222.75

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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.