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Finding the Third Proportional to 91,168 and 196,915

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Solution

The third proportional to 91,168 and 196,915 is: 425,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,168 : 196,915 = 196,915 : x
  2. Step 2: Convert to fraction form
    91,168/196,915 = 196,915/x
  3. Step 3: Cross multiply
    91,168x = 196,915 × 196,915
  4. Step 4: Simplify right side
    91,168x = 38,775,517,225
  5. Step 5: Solve for x
    x = 38,775,517,225/91,168
  6. Step 6: Final answer
    x = 425,319.38

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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.