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Finding the Third Proportional to 91,954.69 and 197,997.75

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Solution

The third proportional to 91,954.69 and 197,997.75 is: 426,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,954.69 : 197,997.75 = 197,997.75 : x
  2. Step 2: Convert to fraction form
    91,954.69/197,997.75 = 197,997.75/x
  3. Step 3: Cross multiply
    91,954.69x = 197,997.75 × 197,997.75
  4. Step 4: Simplify right side
    91,954.69x = 39,203,109,005.06
  5. Step 5: Solve for x
    x = 39,203,109,005.06/91,954.69
  6. Step 6: Final answer
    x = 426,330.73

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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.