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Finding the Third Proportional to 91,956 and 197,031

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Solution

The third proportional to 91,956 and 197,031 is: 422,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,956 : 197,031 = 197,031 : x
  2. Step 2: Convert to fraction form
    91,956/197,031 = 197,031/x
  3. Step 3: Cross multiply
    91,956x = 197,031 × 197,031
  4. Step 4: Simplify right side
    91,956x = 38,821,214,961
  5. Step 5: Solve for x
    x = 38,821,214,961/91,956
  6. Step 6: Final answer
    x = 422,171.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.