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Finding the Third Proportional to 94,311.84 and 204,697.13

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Solution

The third proportional to 94,311.84 and 204,697.13 is: 444,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,311.84 : 204,697.13 = 204,697.13 : x
  2. Step 2: Convert to fraction form
    94,311.84/204,697.13 = 204,697.13/x
  3. Step 3: Cross multiply
    94,311.84x = 204,697.13 × 204,697.13
  4. Step 4: Simplify right side
    94,311.84x = 41,900,912,983.27
  5. Step 5: Solve for x
    x = 41,900,912,983.27/94,311.84
  6. Step 6: Final answer
    x = 444,280.50

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Why These Related Problems?

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