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Finding the Third Proportional to 48,676.50 and 104,357.25

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Solution

The third proportional to 48,676.50 and 104,357.25 is: 223,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676.50 : 104,357.25 = 104,357.25 : x
  2. Step 2: Convert to fraction form
    48,676.50/104,357.25 = 104,357.25/x
  3. Step 3: Cross multiply
    48,676.50x = 104,357.25 × 104,357.25
  4. Step 4: Simplify right side
    48,676.50x = 10,890,435,627.56
  5. Step 5: Solve for x
    x = 10,890,435,627.56/48,676.50
  6. Step 6: Final answer
    x = 223,730.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.