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Finding the Third Proportional to 87,021 and 190,842.75

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Solution

The third proportional to 87,021 and 190,842.75 is: 418,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,021 : 190,842.75 = 190,842.75 : x
  2. Step 2: Convert to fraction form
    87,021/190,842.75 = 190,842.75/x
  3. Step 3: Cross multiply
    87,021x = 190,842.75 × 190,842.75
  4. Step 4: Simplify right side
    87,021x = 36,420,955,227.56
  5. Step 5: Solve for x
    x = 36,420,955,227.56/87,021
  6. Step 6: Final answer
    x = 418,530.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.