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Finding the Third Proportional to 91,238.91 and 195,971.91

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Solution

The third proportional to 91,238.91 and 195,971.91 is: 420,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,238.91 : 195,971.91 = 195,971.91 : x
  2. Step 2: Convert to fraction form
    91,238.91/195,971.91 = 195,971.91/x
  3. Step 3: Cross multiply
    91,238.91x = 195,971.91 × 195,971.91
  4. Step 4: Simplify right side
    91,238.91x = 38,404,988,039.26
  5. Step 5: Solve for x
    x = 38,404,988,039.26/91,238.91
  6. Step 6: Final answer
    x = 420,927.76

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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.