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Finding the Third Proportional to 89,080.38 and 192,085.80

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Solution

The third proportional to 89,080.38 and 192,085.80 is: 414,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,080.38 : 192,085.80 = 192,085.80 : x
  2. Step 2: Convert to fraction form
    89,080.38/192,085.80 = 192,085.80/x
  3. Step 3: Cross multiply
    89,080.38x = 192,085.80 × 192,085.80
  4. Step 4: Simplify right side
    89,080.38x = 36,896,956,362.44
  5. Step 5: Solve for x
    x = 36,896,956,362.44/89,080.38
  6. Step 6: Final answer
    x = 414,198.45

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Why These Related Problems?

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