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Finding the Third Proportional to 96,082 and 196,916

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Solution

The third proportional to 96,082 and 196,916 is: 403,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,082 : 196,916 = 196,916 : x
  2. Step 2: Convert to fraction form
    96,082/196,916 = 196,916/x
  3. Step 3: Cross multiply
    96,082x = 196,916 × 196,916
  4. Step 4: Simplify right side
    96,082x = 38,775,911,056
  5. Step 5: Solve for x
    x = 38,775,911,056/96,082
  6. Step 6: Final answer
    x = 403,571.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.