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Finding the Third Proportional to 89,309.46 and 192,640.78

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Solution

The third proportional to 89,309.46 and 192,640.78 is: 415,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,309.46 : 192,640.78 = 192,640.78 : x
  2. Step 2: Convert to fraction form
    89,309.46/192,640.78 = 192,640.78/x
  3. Step 3: Cross multiply
    89,309.46x = 192,640.78 × 192,640.78
  4. Step 4: Simplify right side
    89,309.46x = 37,110,470,600.61
  5. Step 5: Solve for x
    x = 37,110,470,600.61/89,309.46
  6. Step 6: Final answer
    x = 415,526.76

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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.