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Finding the Third Proportional to 80,829.75 and 190,538.25

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Solution

The third proportional to 80,829.75 and 190,538.25 is: 449,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,829.75 : 190,538.25 = 190,538.25 : x
  2. Step 2: Convert to fraction form
    80,829.75/190,538.25 = 190,538.25/x
  3. Step 3: Cross multiply
    80,829.75x = 190,538.25 × 190,538.25
  4. Step 4: Simplify right side
    80,829.75x = 36,304,824,713.06
  5. Step 5: Solve for x
    x = 36,304,824,713.06/80,829.75
  6. Step 6: Final answer
    x = 449,151.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.