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Finding the Third Proportional to 91,859.25 and 196,839.75

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Solution

The third proportional to 91,859.25 and 196,839.75 is: 421,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,859.25 : 196,839.75 = 196,839.75 : x
  2. Step 2: Convert to fraction form
    91,859.25/196,839.75 = 196,839.75/x
  3. Step 3: Cross multiply
    91,859.25x = 196,839.75 × 196,839.75
  4. Step 4: Simplify right side
    91,859.25x = 38,745,887,180.06
  5. Step 5: Solve for x
    x = 38,745,887,180.06/91,859.25
  6. Step 6: Final answer
    x = 421,796.25

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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.