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Finding the Third Proportional to 48,367.97 and 100,153.97

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Solution

The third proportional to 48,367.97 and 100,153.97 is: 207,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,367.97 : 100,153.97 = 100,153.97 : x
  2. Step 2: Convert to fraction form
    48,367.97/100,153.97 = 100,153.97/x
  3. Step 3: Cross multiply
    48,367.97x = 100,153.97 × 100,153.97
  4. Step 4: Simplify right side
    48,367.97x = 10,030,817,456.38
  5. Step 5: Solve for x
    x = 10,030,817,456.38/48,367.97
  6. Step 6: Final answer
    x = 207,385.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.