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Finding the Third Proportional to 103,156.88 and 225,996.75

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Solution

The third proportional to 103,156.88 and 225,996.75 is: 495,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,156.88 : 225,996.75 = 225,996.75 : x
  2. Step 2: Convert to fraction form
    103,156.88/225,996.75 = 225,996.75/x
  3. Step 3: Cross multiply
    103,156.88x = 225,996.75 × 225,996.75
  4. Step 4: Simplify right side
    103,156.88x = 51,074,531,010.56
  5. Step 5: Solve for x
    x = 51,074,531,010.56/103,156.88
  6. Step 6: Final answer
    x = 495,115.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.