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Finding the Third Proportional to 91,966 and 197,051

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Solution

The third proportional to 91,966 and 197,051 is: 422,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,966 : 197,051 = 197,051 : x
  2. Step 2: Convert to fraction form
    91,966/197,051 = 197,051/x
  3. Step 3: Cross multiply
    91,966x = 197,051 × 197,051
  4. Step 4: Simplify right side
    91,966x = 38,829,096,601
  5. Step 5: Solve for x
    x = 38,829,096,601/91,966
  6. Step 6: Final answer
    x = 422,211.43

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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.