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Finding the Third Proportional to 88,493 and 191,062

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Solution

The third proportional to 88,493 and 191,062 is: 412,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,493 : 191,062 = 191,062 : x
  2. Step 2: Convert to fraction form
    88,493/191,062 = 191,062/x
  3. Step 3: Cross multiply
    88,493x = 191,062 × 191,062
  4. Step 4: Simplify right side
    88,493x = 36,504,687,844
  5. Step 5: Solve for x
    x = 36,504,687,844/88,493
  6. Step 6: Final answer
    x = 412,514.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.