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Finding the Third Proportional to 94,497.05 and 204,025.92

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Solution

The third proportional to 94,497.05 and 204,025.92 is: 440,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,497.05 : 204,025.92 = 204,025.92 : x
  2. Step 2: Convert to fraction form
    94,497.05/204,025.92 = 204,025.92/x
  3. Step 3: Cross multiply
    94,497.05x = 204,025.92 × 204,025.92
  4. Step 4: Simplify right side
    94,497.05x = 41,626,576,796.94
  5. Step 5: Solve for x
    x = 41,626,576,796.94/94,497.05
  6. Step 6: Final answer
    x = 440,506.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.