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Finding the Third Proportional to 168,097,568 and 368,081,584

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Solution

The third proportional to 168,097,568 and 368,081,584 is: 805,984,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,097,568 : 368,081,584 = 368,081,584 : x
  2. Step 2: Convert to fraction form
    168,097,568/368,081,584 = 368,081,584/x
  3. Step 3: Cross multiply
    168,097,568x = 368,081,584 × 368,081,584
  4. Step 4: Simplify right side
    168,097,568x = 135,484,052,479,949,056
  5. Step 5: Solve for x
    x = 135,484,052,479,949,056/168,097,568
  6. Step 6: Final answer
    x = 805,984,608.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.