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Finding the Third Proportional to 209,945,976 and 295,521,366

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Solution

The third proportional to 209,945,976 and 295,521,366 is: 415,977,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,945,976 : 295,521,366 = 295,521,366 : x
  2. Step 2: Convert to fraction form
    209,945,976/295,521,366 = 295,521,366/x
  3. Step 3: Cross multiply
    209,945,976x = 295,521,366 × 295,521,366
  4. Step 4: Simplify right side
    209,945,976x = 87,332,877,762,505,952
  5. Step 5: Solve for x
    x = 87,332,877,762,505,952/209,945,976
  6. Step 6: Final answer
    x = 415,977,859.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.