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Finding the Third Proportional to 107,718 and 230,098

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Solution

The third proportional to 107,718 and 230,098 is: 491,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,718 : 230,098 = 230,098 : x
  2. Step 2: Convert to fraction form
    107,718/230,098 = 230,098/x
  3. Step 3: Cross multiply
    107,718x = 230,098 × 230,098
  4. Step 4: Simplify right side
    107,718x = 52,945,089,604
  5. Step 5: Solve for x
    x = 52,945,089,604/107,718
  6. Step 6: Final answer
    x = 491,515.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.