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Finding the Third Proportional to 48,815.88 and 101,519.25

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Solution

The third proportional to 48,815.88 and 101,519.25 is: 211,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,815.88 : 101,519.25 = 101,519.25 : x
  2. Step 2: Convert to fraction form
    48,815.88/101,519.25 = 101,519.25/x
  3. Step 3: Cross multiply
    48,815.88x = 101,519.25 × 101,519.25
  4. Step 4: Simplify right side
    48,815.88x = 10,306,158,120.56
  5. Step 5: Solve for x
    x = 10,306,158,120.56/48,815.88
  6. Step 6: Final answer
    x = 211,123.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.