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Finding the Third Proportional to 129,880.13 and 195,198.19

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Solution

The third proportional to 129,880.13 and 195,198.19 is: 293,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,880.13 : 195,198.19 = 195,198.19 : x
  2. Step 2: Convert to fraction form
    129,880.13/195,198.19 = 195,198.19/x
  3. Step 3: Cross multiply
    129,880.13x = 195,198.19 × 195,198.19
  4. Step 4: Simplify right side
    129,880.13x = 38,102,332,403.29
  5. Step 5: Solve for x
    x = 38,102,332,403.29/129,880.13
  6. Step 6: Final answer
    x = 293,365.38

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