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Finding the Third Proportional to 91,743.25 and 197,049.75

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Solution

The third proportional to 91,743.25 and 197,049.75 is: 423,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,743.25 : 197,049.75 = 197,049.75 : x
  2. Step 2: Convert to fraction form
    91,743.25/197,049.75 = 197,049.75/x
  3. Step 3: Cross multiply
    91,743.25x = 197,049.75 × 197,049.75
  4. Step 4: Simplify right side
    91,743.25x = 38,828,603,975.06
  5. Step 5: Solve for x
    x = 38,828,603,975.06/91,743.25
  6. Step 6: Final answer
    x = 423,231.18

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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.