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Finding the Third Proportional to 96,099.75 and 204,023.81

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Solution

The third proportional to 96,099.75 and 204,023.81 is: 433,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,099.75 : 204,023.81 = 204,023.81 : x
  2. Step 2: Convert to fraction form
    96,099.75/204,023.81 = 204,023.81/x
  3. Step 3: Cross multiply
    96,099.75x = 204,023.81 × 204,023.81
  4. Step 4: Simplify right side
    96,099.75x = 41,625,716,067.04
  5. Step 5: Solve for x
    x = 41,625,716,067.04/96,099.75
  6. Step 6: Final answer
    x = 433,151.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.