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Finding the Third Proportional to 132,204.66 and 192,769.88

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Solution

The third proportional to 132,204.66 and 192,769.88 is: 281,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,204.66 : 192,769.88 = 192,769.88 : x
  2. Step 2: Convert to fraction form
    132,204.66/192,769.88 = 192,769.88/x
  3. Step 3: Cross multiply
    132,204.66x = 192,769.88 × 192,769.88
  4. Step 4: Simplify right side
    132,204.66x = 37,160,224,707.52
  5. Step 5: Solve for x
    x = 37,160,224,707.52/132,204.66
  6. Step 6: Final answer
    x = 281,081.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.