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Finding the Third Proportional to 99,198 and 141,993

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Solution

The third proportional to 99,198 and 141,993 is: 203,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198 : 141,993 = 141,993 : x
  2. Step 2: Convert to fraction form
    99,198/141,993 = 141,993/x
  3. Step 3: Cross multiply
    99,198x = 141,993 × 141,993
  4. Step 4: Simplify right side
    99,198x = 20,162,012,049
  5. Step 5: Solve for x
    x = 20,162,012,049/99,198
  6. Step 6: Final answer
    x = 203,250.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.