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Finding the Third Proportional to 48,694.92 and 104,890.57

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Solution

The third proportional to 48,694.92 and 104,890.57 is: 225,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,694.92 : 104,890.57 = 104,890.57 : x
  2. Step 2: Convert to fraction form
    48,694.92/104,890.57 = 104,890.57/x
  3. Step 3: Cross multiply
    48,694.92x = 104,890.57 × 104,890.57
  4. Step 4: Simplify right side
    48,694.92x = 11,002,031,740.48
  5. Step 5: Solve for x
    x = 11,002,031,740.48/48,694.92
  6. Step 6: Final answer
    x = 225,937.97

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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.