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Finding the Third Proportional to 102,799.69 and 154,198.69

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Solution

The third proportional to 102,799.69 and 154,198.69 is: 231,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,799.69 : 154,198.69 = 154,198.69 : x
  2. Step 2: Convert to fraction form
    102,799.69/154,198.69 = 154,198.69/x
  3. Step 3: Cross multiply
    102,799.69x = 154,198.69 × 154,198.69
  4. Step 4: Simplify right side
    102,799.69x = 23,777,235,226.72
  5. Step 5: Solve for x
    x = 23,777,235,226.72/102,799.69
  6. Step 6: Final answer
    x = 231,296.77

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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.