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Finding the Third Proportional to 91,002 and 200,004

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Solution

The third proportional to 91,002 and 200,004 is: 439,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,002 : 200,004 = 200,004 : x
  2. Step 2: Convert to fraction form
    91,002/200,004 = 200,004/x
  3. Step 3: Cross multiply
    91,002x = 200,004 × 200,004
  4. Step 4: Simplify right side
    91,002x = 40,001,600,016
  5. Step 5: Solve for x
    x = 40,001,600,016/91,002
  6. Step 6: Final answer
    x = 439,568.36

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Why These Related Problems?

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