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Finding the Third Proportional to 91,927.50 and 192,280.50

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Solution

The third proportional to 91,927.50 and 192,280.50 is: 402,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,927.50 : 192,280.50 = 192,280.50 : x
  2. Step 2: Convert to fraction form
    91,927.50/192,280.50 = 192,280.50/x
  3. Step 3: Cross multiply
    91,927.50x = 192,280.50 × 192,280.50
  4. Step 4: Simplify right side
    91,927.50x = 36,971,790,680.25
  5. Step 5: Solve for x
    x = 36,971,790,680.25/91,927.50
  6. Step 6: Final answer
    x = 402,184.23

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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.