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Finding the Third Proportional to 90,996.75 and 195,166.13

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Solution

The third proportional to 90,996.75 and 195,166.13 is: 418,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,996.75 : 195,166.13 = 195,166.13 : x
  2. Step 2: Convert to fraction form
    90,996.75/195,166.13 = 195,166.13/x
  3. Step 3: Cross multiply
    90,996.75x = 195,166.13 × 195,166.13
  4. Step 4: Simplify right side
    90,996.75x = 38,089,816,347.52
  5. Step 5: Solve for x
    x = 38,089,816,347.52/90,996.75
  6. Step 6: Final answer
    x = 418,584.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.