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Finding the Third Proportional to 90,892.25 and 190,136.50

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Solution

The third proportional to 90,892.25 and 190,136.50 is: 397,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,892.25 : 190,136.50 = 190,136.50 : x
  2. Step 2: Convert to fraction form
    90,892.25/190,136.50 = 190,136.50/x
  3. Step 3: Cross multiply
    90,892.25x = 190,136.50 × 190,136.50
  4. Step 4: Simplify right side
    90,892.25x = 36,151,888,632.25
  5. Step 5: Solve for x
    x = 36,151,888,632.25/90,892.25
  6. Step 6: Final answer
    x = 397,744.46

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.