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Finding the Third Proportional to 89,680.50 and 192,240

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Solution

The third proportional to 89,680.50 and 192,240 is: 412,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,680.50 : 192,240 = 192,240 : x
  2. Step 2: Convert to fraction form
    89,680.50/192,240 = 192,240/x
  3. Step 3: Cross multiply
    89,680.50x = 192,240 × 192,240
  4. Step 4: Simplify right side
    89,680.50x = 36,956,217,600
  5. Step 5: Solve for x
    x = 36,956,217,600/89,680.50
  6. Step 6: Final answer
    x = 412,087.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.