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Finding the Third Proportional to 129,880.97 and 199,504.69

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Solution

The third proportional to 129,880.97 and 199,504.69 is: 306,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,880.97 : 199,504.69 = 199,504.69 : x
  2. Step 2: Convert to fraction form
    129,880.97/199,504.69 = 199,504.69/x
  3. Step 3: Cross multiply
    129,880.97x = 199,504.69 × 199,504.69
  4. Step 4: Simplify right side
    129,880.97x = 39,802,120,334.47
  5. Step 5: Solve for x
    x = 39,802,120,334.47/129,880.97
  6. Step 6: Final answer
    x = 306,450.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.