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Finding the Third Proportional to 91,126.90 and 196,223.13

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Solution

The third proportional to 91,126.90 and 196,223.13 is: 422,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,126.90 : 196,223.13 = 196,223.13 : x
  2. Step 2: Convert to fraction form
    91,126.90/196,223.13 = 196,223.13/x
  3. Step 3: Cross multiply
    91,126.90x = 196,223.13 × 196,223.13
  4. Step 4: Simplify right side
    91,126.90x = 38,503,517,850.75
  5. Step 5: Solve for x
    x = 38,503,517,850.75/91,126.90
  6. Step 6: Final answer
    x = 422,526.37

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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.