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Finding the Third Proportional to 91,006 and 200,012

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Solution

The third proportional to 91,006 and 200,012 is: 439,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,006 : 200,012 = 200,012 : x
  2. Step 2: Convert to fraction form
    91,006/200,012 = 200,012/x
  3. Step 3: Cross multiply
    91,006x = 200,012 × 200,012
  4. Step 4: Simplify right side
    91,006x = 40,004,800,144
  5. Step 5: Solve for x
    x = 40,004,800,144/91,006
  6. Step 6: Final answer
    x = 439,584.20

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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.