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Finding the Third Proportional to 92,772 and 198,662

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Solution

The third proportional to 92,772 and 198,662 is: 425,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,772 : 198,662 = 198,662 : x
  2. Step 2: Convert to fraction form
    92,772/198,662 = 198,662/x
  3. Step 3: Cross multiply
    92,772x = 198,662 × 198,662
  4. Step 4: Simplify right side
    92,772x = 39,466,590,244
  5. Step 5: Solve for x
    x = 39,466,590,244/92,772
  6. Step 6: Final answer
    x = 425,414.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.