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Finding the Third Proportional to 111,144.66 and 239,785.31

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Solution

The third proportional to 111,144.66 and 239,785.31 is: 517,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,144.66 : 239,785.31 = 239,785.31 : x
  2. Step 2: Convert to fraction form
    111,144.66/239,785.31 = 239,785.31/x
  3. Step 3: Cross multiply
    111,144.66x = 239,785.31 × 239,785.31
  4. Step 4: Simplify right side
    111,144.66x = 57,496,996,090.72
  5. Step 5: Solve for x
    x = 57,496,996,090.72/111,144.66
  6. Step 6: Final answer
    x = 517,316.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.