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Finding the Third Proportional to 88,382.81 and 192,133.69

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Solution

The third proportional to 88,382.81 and 192,133.69 is: 417,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,382.81 : 192,133.69 = 192,133.69 : x
  2. Step 2: Convert to fraction form
    88,382.81/192,133.69 = 192,133.69/x
  3. Step 3: Cross multiply
    88,382.81x = 192,133.69 × 192,133.69
  4. Step 4: Simplify right side
    88,382.81x = 36,915,353,872.35
  5. Step 5: Solve for x
    x = 36,915,353,872.35/88,382.81
  6. Step 6: Final answer
    x = 417,675.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.