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Finding the Third Proportional to 57,287,920 and 117,223,204

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Solution

The third proportional to 57,287,920 and 117,223,204 is: 239,863,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287,920 : 117,223,204 = 117,223,204 : x
  2. Step 2: Convert to fraction form
    57,287,920/117,223,204 = 117,223,204/x
  3. Step 3: Cross multiply
    57,287,920x = 117,223,204 × 117,223,204
  4. Step 4: Simplify right side
    57,287,920x = 13,741,279,556,025,616
  5. Step 5: Solve for x
    x = 13,741,279,556,025,616/57,287,920
  6. Step 6: Final answer
    x = 239,863,474.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.