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Finding the Third Proportional to 129,993.50 and 199,720.88

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Solution

The third proportional to 129,993.50 and 199,720.88 is: 306,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,993.50 : 199,720.88 = 199,720.88 : x
  2. Step 2: Convert to fraction form
    129,993.50/199,720.88 = 199,720.88/x
  3. Step 3: Cross multiply
    129,993.50x = 199,720.88 × 199,720.88
  4. Step 4: Simplify right side
    129,993.50x = 39,888,427,910.77
  5. Step 5: Solve for x
    x = 39,888,427,910.77/129,993.50
  6. Step 6: Final answer
    x = 306,849.40

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Why These Related Problems?

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