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Finding the Third Proportional to 91,811 and 197,014

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Solution

The third proportional to 91,811 and 197,014 is: 422,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,811 : 197,014 = 197,014 : x
  2. Step 2: Convert to fraction form
    91,811/197,014 = 197,014/x
  3. Step 3: Cross multiply
    91,811x = 197,014 × 197,014
  4. Step 4: Simplify right side
    91,811x = 38,814,516,196
  5. Step 5: Solve for x
    x = 38,814,516,196/91,811
  6. Step 6: Final answer
    x = 422,765.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.