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Finding the Third Proportional to 91,992 and 201,648

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Solution

The third proportional to 91,992 and 201,648 is: 442,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,992 : 201,648 = 201,648 : x
  2. Step 2: Convert to fraction form
    91,992/201,648 = 201,648/x
  3. Step 3: Cross multiply
    91,992x = 201,648 × 201,648
  4. Step 4: Simplify right side
    91,992x = 40,661,915,904
  5. Step 5: Solve for x
    x = 40,661,915,904/91,992
  6. Step 6: Final answer
    x = 442,015.78

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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.