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Finding the Third Proportional to 91,235 and 195,896

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Solution

The third proportional to 91,235 and 195,896 is: 420,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,235 : 195,896 = 195,896 : x
  2. Step 2: Convert to fraction form
    91,235/195,896 = 195,896/x
  3. Step 3: Cross multiply
    91,235x = 195,896 × 195,896
  4. Step 4: Simplify right side
    91,235x = 38,375,242,816
  5. Step 5: Solve for x
    x = 38,375,242,816/91,235
  6. Step 6: Final answer
    x = 420,619.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.