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Finding the Third Proportional to 89,408.25 and 193,335.75

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Solution

The third proportional to 89,408.25 and 193,335.75 is: 418,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,408.25 : 193,335.75 = 193,335.75 : x
  2. Step 2: Convert to fraction form
    89,408.25/193,335.75 = 193,335.75/x
  3. Step 3: Cross multiply
    89,408.25x = 193,335.75 × 193,335.75
  4. Step 4: Simplify right side
    89,408.25x = 37,378,712,228.06
  5. Step 5: Solve for x
    x = 37,378,712,228.06/89,408.25
  6. Step 6: Final answer
    x = 418,067.82

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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.