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Finding the Third Proportional to 192,099.09 and 308,651.77

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Solution

The third proportional to 192,099.09 and 308,651.77 is: 495,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,099.09 : 308,651.77 = 308,651.77 : x
  2. Step 2: Convert to fraction form
    192,099.09/308,651.77 = 308,651.77/x
  3. Step 3: Cross multiply
    192,099.09x = 308,651.77 × 308,651.77
  4. Step 4: Simplify right side
    192,099.09x = 95,265,912,423.43
  5. Step 5: Solve for x
    x = 95,265,912,423.43/192,099.09
  6. Step 6: Final answer
    x = 495,920.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.