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Finding the Third Proportional to 89,208.21 and 192,342.09

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Solution

The third proportional to 89,208.21 and 192,342.09 is: 414,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,208.21 : 192,342.09 = 192,342.09 : x
  2. Step 2: Convert to fraction form
    89,208.21/192,342.09 = 192,342.09/x
  3. Step 3: Cross multiply
    89,208.21x = 192,342.09 × 192,342.09
  4. Step 4: Simplify right side
    89,208.21x = 36,995,481,028.13
  5. Step 5: Solve for x
    x = 36,995,481,028.13/89,208.21
  6. Step 6: Final answer
    x = 414,709.37

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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.