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Finding the Third Proportional to 89,029.13 and 192,106.69

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Solution

The third proportional to 89,029.13 and 192,106.69 is: 414,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,029.13 : 192,106.69 = 192,106.69 : x
  2. Step 2: Convert to fraction form
    89,029.13/192,106.69 = 192,106.69/x
  3. Step 3: Cross multiply
    89,029.13x = 192,106.69 × 192,106.69
  4. Step 4: Simplify right side
    89,029.13x = 36,904,979,382.22
  5. Step 5: Solve for x
    x = 36,904,979,382.22/89,029.13
  6. Step 6: Final answer
    x = 414,527.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.