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Finding the Third Proportional to 133,003.69 and 199,639.69

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Solution

The third proportional to 133,003.69 and 199,639.69 is: 299,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,003.69 : 199,639.69 = 199,639.69 : x
  2. Step 2: Convert to fraction form
    133,003.69/199,639.69 = 199,639.69/x
  3. Step 3: Cross multiply
    133,003.69x = 199,639.69 × 199,639.69
  4. Step 4: Simplify right side
    133,003.69x = 39,856,004,825.10
  5. Step 5: Solve for x
    x = 39,856,004,825.10/133,003.69
  6. Step 6: Final answer
    x = 299,660.90

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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.