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Finding the Third Proportional to 45,517.89 and 100,069.49

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Solution

The third proportional to 45,517.89 and 100,069.49 is: 219,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,517.89 : 100,069.49 = 100,069.49 : x
  2. Step 2: Convert to fraction form
    45,517.89/100,069.49 = 100,069.49/x
  3. Step 3: Cross multiply
    45,517.89x = 100,069.49 × 100,069.49
  4. Step 4: Simplify right side
    45,517.89x = 10,013,902,484.87
  5. Step 5: Solve for x
    x = 10,013,902,484.87/45,517.89
  6. Step 6: Final answer
    x = 219,999.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.