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Finding the Third Proportional to 102,799.13 and 154,198.13

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Solution

The third proportional to 102,799.13 and 154,198.13 is: 231,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,799.13 : 154,198.13 = 154,198.13 : x
  2. Step 2: Convert to fraction form
    102,799.13/154,198.13 = 154,198.13/x
  3. Step 3: Cross multiply
    102,799.13x = 154,198.13 × 154,198.13
  4. Step 4: Simplify right side
    102,799.13x = 23,777,061,753.52
  5. Step 5: Solve for x
    x = 23,777,061,753.52/102,799.13
  6. Step 6: Final answer
    x = 231,296.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.