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Finding the Third Proportional to 111,149.72 and 233,914.71

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Solution

The third proportional to 111,149.72 and 233,914.71 is: 492,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,149.72 : 233,914.71 = 233,914.71 : x
  2. Step 2: Convert to fraction form
    111,149.72/233,914.71 = 233,914.71/x
  3. Step 3: Cross multiply
    111,149.72x = 233,914.71 × 233,914.71
  4. Step 4: Simplify right side
    111,149.72x = 54,716,091,992.97
  5. Step 5: Solve for x
    x = 54,716,091,992.97/111,149.72
  6. Step 6: Final answer
    x = 492,273.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.