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Finding the Third Proportional to 91,093 and 200,122

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Solution

The third proportional to 91,093 and 200,122 is: 439,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,093 : 200,122 = 200,122 : x
  2. Step 2: Convert to fraction form
    91,093/200,122 = 200,122/x
  3. Step 3: Cross multiply
    91,093x = 200,122 × 200,122
  4. Step 4: Simplify right side
    91,093x = 40,048,814,884
  5. Step 5: Solve for x
    x = 40,048,814,884/91,093
  6. Step 6: Final answer
    x = 439,647.56

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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.