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Finding the Third Proportional to 45,217.69 and 98,217.56

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Solution

The third proportional to 45,217.69 and 98,217.56 is: 213,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217.69 : 98,217.56 = 98,217.56 : x
  2. Step 2: Convert to fraction form
    45,217.69/98,217.56 = 98,217.56/x
  3. Step 3: Cross multiply
    45,217.69x = 98,217.56 × 98,217.56
  4. Step 4: Simplify right side
    45,217.69x = 9,646,689,583.44
  5. Step 5: Solve for x
    x = 9,646,689,583.44/45,217.69
  6. Step 6: Final answer
    x = 213,338.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.