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Finding the Third Proportional to 91,166 and 196,912

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Solution

The third proportional to 91,166 and 196,912 is: 425,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,166 : 196,912 = 196,912 : x
  2. Step 2: Convert to fraction form
    91,166/196,912 = 196,912/x
  3. Step 3: Cross multiply
    91,166x = 196,912 × 196,912
  4. Step 4: Simplify right side
    91,166x = 38,774,335,744
  5. Step 5: Solve for x
    x = 38,774,335,744/91,166
  6. Step 6: Final answer
    x = 425,315.75

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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.