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Finding the Third Proportional to 91,962 and 197,043

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Solution

The third proportional to 91,962 and 197,043 is: 422,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,962 : 197,043 = 197,043 : x
  2. Step 2: Convert to fraction form
    91,962/197,043 = 197,043/x
  3. Step 3: Cross multiply
    91,962x = 197,043 × 197,043
  4. Step 4: Simplify right side
    91,962x = 38,825,943,849
  5. Step 5: Solve for x
    x = 38,825,943,849/91,962
  6. Step 6: Final answer
    x = 422,195.51

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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.