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Finding the Third Proportional to 131,415.75 and 199,720.69

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Solution

The third proportional to 131,415.75 and 199,720.69 is: 303,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,415.75 : 199,720.69 = 199,720.69 : x
  2. Step 2: Convert to fraction form
    131,415.75/199,720.69 = 199,720.69/x
  3. Step 3: Cross multiply
    131,415.75x = 199,720.69 × 199,720.69
  4. Step 4: Simplify right side
    131,415.75x = 39,888,353,015.47
  5. Step 5: Solve for x
    x = 39,888,353,015.47/131,415.75
  6. Step 6: Final answer
    x = 303,527.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.