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Finding the Third Proportional to 91,220 and 196,024

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Solution

The third proportional to 91,220 and 196,024 is: 421,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,220 : 196,024 = 196,024 : x
  2. Step 2: Convert to fraction form
    91,220/196,024 = 196,024/x
  3. Step 3: Cross multiply
    91,220x = 196,024 × 196,024
  4. Step 4: Simplify right side
    91,220x = 38,425,408,576
  5. Step 5: Solve for x
    x = 38,425,408,576/91,220
  6. Step 6: Final answer
    x = 421,238.86

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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.