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Finding the Third Proportional to 91,179 and 196,935

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Solution

The third proportional to 91,179 and 196,935 is: 425,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,179 : 196,935 = 196,935 : x
  2. Step 2: Convert to fraction form
    91,179/196,935 = 196,935/x
  3. Step 3: Cross multiply
    91,179x = 196,935 × 196,935
  4. Step 4: Simplify right side
    91,179x = 38,783,394,225
  5. Step 5: Solve for x
    x = 38,783,394,225/91,179
  6. Step 6: Final answer
    x = 425,354.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.