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Finding the Third Proportional to 48,209.25 and 104,710.88

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Solution

The third proportional to 48,209.25 and 104,710.88 is: 227,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,209.25 : 104,710.88 = 104,710.88 : x
  2. Step 2: Convert to fraction form
    48,209.25/104,710.88 = 104,710.88/x
  3. Step 3: Cross multiply
    48,209.25x = 104,710.88 × 104,710.88
  4. Step 4: Simplify right side
    48,209.25x = 10,964,367,343.27
  5. Step 5: Solve for x
    x = 10,964,367,343.27/48,209.25
  6. Step 6: Final answer
    x = 227,432.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.