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Finding the Third Proportional to 91,191 and 200,793

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Solution

The third proportional to 91,191 and 200,793 is: 442,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,191 : 200,793 = 200,793 : x
  2. Step 2: Convert to fraction form
    91,191/200,793 = 200,793/x
  3. Step 3: Cross multiply
    91,191x = 200,793 × 200,793
  4. Step 4: Simplify right side
    91,191x = 40,317,828,849
  5. Step 5: Solve for x
    x = 40,317,828,849/91,191
  6. Step 6: Final answer
    x = 442,125.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.