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Finding the Third Proportional to 84,170.13 and 181,693.75

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Solution

The third proportional to 84,170.13 and 181,693.75 is: 392,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170.13 : 181,693.75 = 181,693.75 : x
  2. Step 2: Convert to fraction form
    84,170.13/181,693.75 = 181,693.75/x
  3. Step 3: Cross multiply
    84,170.13x = 181,693.75 × 181,693.75
  4. Step 4: Simplify right side
    84,170.13x = 33,012,618,789.06
  5. Step 5: Solve for x
    x = 33,012,618,789.06/84,170.13
  6. Step 6: Final answer
    x = 392,213.02

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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.