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Finding the Third Proportional to 91,131.75 and 196,233.75

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Solution

The third proportional to 91,131.75 and 196,233.75 is: 422,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,131.75 : 196,233.75 = 196,233.75 : x
  2. Step 2: Convert to fraction form
    91,131.75/196,233.75 = 196,233.75/x
  3. Step 3: Cross multiply
    91,131.75x = 196,233.75 × 196,233.75
  4. Step 4: Simplify right side
    91,131.75x = 38,507,684,639.06
  5. Step 5: Solve for x
    x = 38,507,684,639.06/91,131.75
  6. Step 6: Final answer
    x = 422,549.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.