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Finding the Third Proportional to 103,627.69 and 225,502.31

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Solution

The third proportional to 103,627.69 and 225,502.31 is: 490,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627.69 : 225,502.31 = 225,502.31 : x
  2. Step 2: Convert to fraction form
    103,627.69/225,502.31 = 225,502.31/x
  3. Step 3: Cross multiply
    103,627.69x = 225,502.31 × 225,502.31
  4. Step 4: Simplify right side
    103,627.69x = 50,851,292,942.85
  5. Step 5: Solve for x
    x = 50,851,292,942.85/103,627.69
  6. Step 6: Final answer
    x = 490,711.45

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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.