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Finding the Third Proportional to 95,400,324 and 205,906,824

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Solution

The third proportional to 95,400,324 and 205,906,824 is: 444,417,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,400,324 : 205,906,824 = 205,906,824 : x
  2. Step 2: Convert to fraction form
    95,400,324/205,906,824 = 205,906,824/x
  3. Step 3: Cross multiply
    95,400,324x = 205,906,824 × 205,906,824
  4. Step 4: Simplify right side
    95,400,324x = 42,397,620,169,766,976
  5. Step 5: Solve for x
    x = 42,397,620,169,766,976/95,400,324
  6. Step 6: Final answer
    x = 444,417,989.29

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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.