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Finding the Third Proportional to 181,918,226 and 279,903,675

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Solution

The third proportional to 181,918,226 and 279,903,675 is: 430,666,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,918,226 : 279,903,675 = 279,903,675 : x
  2. Step 2: Convert to fraction form
    181,918,226/279,903,675 = 279,903,675/x
  3. Step 3: Cross multiply
    181,918,226x = 279,903,675 × 279,903,675
  4. Step 4: Simplify right side
    181,918,226x = 78,346,067,278,505,632
  5. Step 5: Solve for x
    x = 78,346,067,278,505,632/181,918,226
  6. Step 6: Final answer
    x = 430,666,398.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.