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Finding the Third Proportional to 106,944.05 and 232,362.42

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Solution

The third proportional to 106,944.05 and 232,362.42 is: 504,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944.05 : 232,362.42 = 232,362.42 : x
  2. Step 2: Convert to fraction form
    106,944.05/232,362.42 = 232,362.42/x
  3. Step 3: Cross multiply
    106,944.05x = 232,362.42 × 232,362.42
  4. Step 4: Simplify right side
    106,944.05x = 53,992,295,099.62
  5. Step 5: Solve for x
    x = 53,992,295,099.62/106,944.05
  6. Step 6: Final answer
    x = 504,864.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.