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Finding the Third Proportional to 97,886 and 187,993

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Solution

The third proportional to 97,886 and 187,993 is: 361,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886 : 187,993 = 187,993 : x
  2. Step 2: Convert to fraction form
    97,886/187,993 = 187,993/x
  3. Step 3: Cross multiply
    97,886x = 187,993 × 187,993
  4. Step 4: Simplify right side
    97,886x = 35,341,368,049
  5. Step 5: Solve for x
    x = 35,341,368,049/97,886
  6. Step 6: Final answer
    x = 361,046.20

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.