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Finding the Third Proportional to 106,944.75 and 232,363.88

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Solution

The third proportional to 106,944.75 and 232,363.88 is: 504,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944.75 : 232,363.88 = 232,363.88 : x
  2. Step 2: Convert to fraction form
    106,944.75/232,363.88 = 232,363.88/x
  3. Step 3: Cross multiply
    106,944.75x = 232,363.88 × 232,363.88
  4. Step 4: Simplify right side
    106,944.75x = 53,992,970,405.02
  5. Step 5: Solve for x
    x = 53,992,970,405.02/106,944.75
  6. Step 6: Final answer
    x = 504,867.89

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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.