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Finding the Third Proportional to 91,972 and 201,608

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Solution

The third proportional to 91,972 and 201,608 is: 441,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,972 : 201,608 = 201,608 : x
  2. Step 2: Convert to fraction form
    91,972/201,608 = 201,608/x
  3. Step 3: Cross multiply
    91,972x = 201,608 × 201,608
  4. Step 4: Simplify right side
    91,972x = 40,645,785,664
  5. Step 5: Solve for x
    x = 40,645,785,664/91,972
  6. Step 6: Final answer
    x = 441,936.52

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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.