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Finding the Third Proportional to 91,351.50 and 199,261.50

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Solution

The third proportional to 91,351.50 and 199,261.50 is: 434,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,351.50 : 199,261.50 = 199,261.50 : x
  2. Step 2: Convert to fraction form
    91,351.50/199,261.50 = 199,261.50/x
  3. Step 3: Cross multiply
    91,351.50x = 199,261.50 × 199,261.50
  4. Step 4: Simplify right side
    91,351.50x = 39,705,145,382.25
  5. Step 5: Solve for x
    x = 39,705,145,382.25/91,351.50
  6. Step 6: Final answer
    x = 434,641.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.