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Finding the Third Proportional to 168,147,264 and 362,224,896

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Solution

The third proportional to 168,147,264 and 362,224,896 is: 780,309,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,147,264 : 362,224,896 = 362,224,896 : x
  2. Step 2: Convert to fraction form
    168,147,264/362,224,896 = 362,224,896/x
  3. Step 3: Cross multiply
    168,147,264x = 362,224,896 × 362,224,896
  4. Step 4: Simplify right side
    168,147,264x = 131,206,875,282,210,816
  5. Step 5: Solve for x
    x = 131,206,875,282,210,816/168,147,264
  6. Step 6: Final answer
    x = 780,309,308.41

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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.