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Finding the Third Proportional to 87,713.30 and 192,207.09

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Solution

The third proportional to 87,713.30 and 192,207.09 is: 421,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,713.30 : 192,207.09 = 192,207.09 : x
  2. Step 2: Convert to fraction form
    87,713.30/192,207.09 = 192,207.09/x
  3. Step 3: Cross multiply
    87,713.30x = 192,207.09 × 192,207.09
  4. Step 4: Simplify right side
    87,713.30x = 36,943,566,887.82
  5. Step 5: Solve for x
    x = 36,943,566,887.82/87,713.30
  6. Step 6: Final answer
    x = 421,185.48

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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.