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Finding the Third Proportional to 168,147,268 and 362,224,904

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Solution

The third proportional to 168,147,268 and 362,224,904 is: 780,309,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,147,268 : 362,224,904 = 362,224,904 : x
  2. Step 2: Convert to fraction form
    168,147,268/362,224,904 = 362,224,904/x
  3. Step 3: Cross multiply
    168,147,268x = 362,224,904 × 362,224,904
  4. Step 4: Simplify right side
    168,147,268x = 131,206,881,077,809,216
  5. Step 5: Solve for x
    x = 131,206,881,077,809,216/168,147,268
  6. Step 6: Final answer
    x = 780,309,324.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.