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Finding the Third Proportional to 181,720,051 and 396,743,739

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Solution

The third proportional to 181,720,051 and 396,743,739 is: 866,198,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,720,051 : 396,743,739 = 396,743,739 : x
  2. Step 2: Convert to fraction form
    181,720,051/396,743,739 = 396,743,739/x
  3. Step 3: Cross multiply
    181,720,051x = 396,743,739 × 396,743,739
  4. Step 4: Simplify right side
    181,720,051x = 157,405,594,435,700,128
  5. Step 5: Solve for x
    x = 157,405,594,435,700,128/181,720,051
  6. Step 6: Final answer
    x = 866,198,273.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.