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Finding the Third Proportional to 91,114 and 197,204

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Solution

The third proportional to 91,114 and 197,204 is: 426,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,114 : 197,204 = 197,204 : x
  2. Step 2: Convert to fraction form
    91,114/197,204 = 197,204/x
  3. Step 3: Cross multiply
    91,114x = 197,204 × 197,204
  4. Step 4: Simplify right side
    91,114x = 38,889,417,616
  5. Step 5: Solve for x
    x = 38,889,417,616/91,114
  6. Step 6: Final answer
    x = 426,821.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.