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Finding the Third Proportional to 91,932 and 197,938

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Solution

The third proportional to 91,932 and 197,938 is: 426,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,932 : 197,938 = 197,938 : x
  2. Step 2: Convert to fraction form
    91,932/197,938 = 197,938/x
  3. Step 3: Cross multiply
    91,932x = 197,938 × 197,938
  4. Step 4: Simplify right side
    91,932x = 39,179,451,844
  5. Step 5: Solve for x
    x = 39,179,451,844/91,932
  6. Step 6: Final answer
    x = 426,178.61

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