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Finding the Third Proportional to 83,084.06 and 181,396.13

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Solution

The third proportional to 83,084.06 and 181,396.13 is: 396,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,084.06 : 181,396.13 = 181,396.13 : x
  2. Step 2: Convert to fraction form
    83,084.06/181,396.13 = 181,396.13/x
  3. Step 3: Cross multiply
    83,084.06x = 181,396.13 × 181,396.13
  4. Step 4: Simplify right side
    83,084.06x = 32,904,554,165.02
  5. Step 5: Solve for x
    x = 32,904,554,165.02/83,084.06
  6. Step 6: Final answer
    x = 396,039.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.