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Finding the Third Proportional to 94,259.25 and 204,880.50

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Solution

The third proportional to 94,259.25 and 204,880.50 is: 445,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,259.25 : 204,880.50 = 204,880.50 : x
  2. Step 2: Convert to fraction form
    94,259.25/204,880.50 = 204,880.50/x
  3. Step 3: Cross multiply
    94,259.25x = 204,880.50 × 204,880.50
  4. Step 4: Simplify right side
    94,259.25x = 41,976,019,280.25
  5. Step 5: Solve for x
    x = 41,976,019,280.25/94,259.25
  6. Step 6: Final answer
    x = 445,325.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.