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Finding the Third Proportional to 89,993 and 193,837

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Solution

The third proportional to 89,993 and 193,837 is: 417,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,993 : 193,837 = 193,837 : x
  2. Step 2: Convert to fraction form
    89,993/193,837 = 193,837/x
  3. Step 3: Cross multiply
    89,993x = 193,837 × 193,837
  4. Step 4: Simplify right side
    89,993x = 37,572,782,569
  5. Step 5: Solve for x
    x = 37,572,782,569/89,993
  6. Step 6: Final answer
    x = 417,507.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.