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Finding the Third Proportional to 72,206,208 and 150,384,384

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Solution

The third proportional to 72,206,208 and 150,384,384 is: 313,206,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,206,208 : 150,384,384 = 150,384,384 : x
  2. Step 2: Convert to fraction form
    72,206,208/150,384,384 = 150,384,384/x
  3. Step 3: Cross multiply
    72,206,208x = 150,384,384 × 150,384,384
  4. Step 4: Simplify right side
    72,206,208x = 22,615,462,951,059,456
  5. Step 5: Solve for x
    x = 22,615,462,951,059,456/72,206,208
  6. Step 6: Final answer
    x = 313,206,628.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.