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Finding the Third Proportional to 91,167 and 196,914

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Solution

The third proportional to 91,167 and 196,914 is: 425,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,167 : 196,914 = 196,914 : x
  2. Step 2: Convert to fraction form
    91,167/196,914 = 196,914/x
  3. Step 3: Cross multiply
    91,167x = 196,914 × 196,914
  4. Step 4: Simplify right side
    91,167x = 38,775,123,396
  5. Step 5: Solve for x
    x = 38,775,123,396/91,167
  6. Step 6: Final answer
    x = 425,319.73

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