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Finding the Third Proportional to 91,652 and 201,016

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Solution

The third proportional to 91,652 and 201,016 is: 440,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,652 : 201,016 = 201,016 : x
  2. Step 2: Convert to fraction form
    91,652/201,016 = 201,016/x
  3. Step 3: Cross multiply
    91,652x = 201,016 × 201,016
  4. Step 4: Simplify right side
    91,652x = 40,407,432,256
  5. Step 5: Solve for x
    x = 40,407,432,256/91,652
  6. Step 6: Final answer
    x = 440,878.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.