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Finding the Third Proportional to 91,736 and 197,035

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Solution

The third proportional to 91,736 and 197,035 is: 423,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,736 : 197,035 = 197,035 : x
  2. Step 2: Convert to fraction form
    91,736/197,035 = 197,035/x
  3. Step 3: Cross multiply
    91,736x = 197,035 × 197,035
  4. Step 4: Simplify right side
    91,736x = 38,822,791,225
  5. Step 5: Solve for x
    x = 38,822,791,225/91,736
  6. Step 6: Final answer
    x = 423,201.26

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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.