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Finding the Third Proportional to 89,569.13 and 192,408.75

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Solution

The third proportional to 89,569.13 and 192,408.75 is: 413,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,569.13 : 192,408.75 = 192,408.75 : x
  2. Step 2: Convert to fraction form
    89,569.13/192,408.75 = 192,408.75/x
  3. Step 3: Cross multiply
    89,569.13x = 192,408.75 × 192,408.75
  4. Step 4: Simplify right side
    89,569.13x = 37,021,127,076.56
  5. Step 5: Solve for x
    x = 37,021,127,076.56/89,569.13
  6. Step 6: Final answer
    x = 413,324.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.