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Finding the Third Proportional to 83,197.13 and 178,832.81

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Solution

The third proportional to 83,197.13 and 178,832.81 is: 384,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,197.13 : 178,832.81 = 178,832.81 : x
  2. Step 2: Convert to fraction form
    83,197.13/178,832.81 = 178,832.81/x
  3. Step 3: Cross multiply
    83,197.13x = 178,832.81 × 178,832.81
  4. Step 4: Simplify right side
    83,197.13x = 31,981,174,826.66
  5. Step 5: Solve for x
    x = 31,981,174,826.66/83,197.13
  6. Step 6: Final answer
    x = 384,402.40

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