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Finding the Third Proportional to 97,819.31 and 155,604.38

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Solution

The third proportional to 97,819.31 and 155,604.38 is: 247,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,819.31 : 155,604.38 = 155,604.38 : x
  2. Step 2: Convert to fraction form
    97,819.31/155,604.38 = 155,604.38/x
  3. Step 3: Cross multiply
    97,819.31x = 155,604.38 × 155,604.38
  4. Step 4: Simplify right side
    97,819.31x = 24,212,721,519.14
  5. Step 5: Solve for x
    x = 24,212,721,519.14/97,819.31
  6. Step 6: Final answer
    x = 247,524.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.