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Finding the Third Proportional to 94,986 and 200,652

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Solution

The third proportional to 94,986 and 200,652 is: 423,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,986 : 200,652 = 200,652 : x
  2. Step 2: Convert to fraction form
    94,986/200,652 = 200,652/x
  3. Step 3: Cross multiply
    94,986x = 200,652 × 200,652
  4. Step 4: Simplify right side
    94,986x = 40,261,225,104
  5. Step 5: Solve for x
    x = 40,261,225,104/94,986
  6. Step 6: Final answer
    x = 423,864.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.