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Finding the Third Proportional to 104,358.38 and 227,464.45

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Solution

The third proportional to 104,358.38 and 227,464.45 is: 495,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,358.38 : 227,464.45 = 227,464.45 : x
  2. Step 2: Convert to fraction form
    104,358.38/227,464.45 = 227,464.45/x
  3. Step 3: Cross multiply
    104,358.38x = 227,464.45 × 227,464.45
  4. Step 4: Simplify right side
    104,358.38x = 51,740,077,435.46
  5. Step 5: Solve for x
    x = 51,740,077,435.46/104,358.38
  6. Step 6: Final answer
    x = 495,792.29

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Why These Related Problems?

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