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Finding the Third Proportional to 48,865.78 and 97,458.19

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Solution

The third proportional to 48,865.78 and 97,458.19 is: 194,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,865.78 : 97,458.19 = 97,458.19 : x
  2. Step 2: Convert to fraction form
    48,865.78/97,458.19 = 97,458.19/x
  3. Step 3: Cross multiply
    48,865.78x = 97,458.19 × 97,458.19
  4. Step 4: Simplify right side
    48,865.78x = 9,498,098,310.79
  5. Step 5: Solve for x
    x = 9,498,098,310.79/48,865.78
  6. Step 6: Final answer
    x = 194,371.15

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.