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Finding the Third Proportional to 48,658.22 and 104,591.25

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Solution

The third proportional to 48,658.22 and 104,591.25 is: 224,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658.22 : 104,591.25 = 104,591.25 : x
  2. Step 2: Convert to fraction form
    48,658.22/104,591.25 = 104,591.25/x
  3. Step 3: Cross multiply
    48,658.22x = 104,591.25 × 104,591.25
  4. Step 4: Simplify right side
    48,658.22x = 10,939,329,576.56
  5. Step 5: Solve for x
    x = 10,939,329,576.56/48,658.22
  6. Step 6: Final answer
    x = 224,819.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.