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Finding the Third Proportional to 218,035,181 and 335,135,114

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Solution

The third proportional to 218,035,181 and 335,135,114 is: 515,125,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,035,181 : 335,135,114 = 335,135,114 : x
  2. Step 2: Convert to fraction form
    218,035,181/335,135,114 = 335,135,114/x
  3. Step 3: Cross multiply
    218,035,181x = 335,135,114 × 335,135,114
  4. Step 4: Simplify right side
    218,035,181x = 112,315,544,635,792,992
  5. Step 5: Solve for x
    x = 112,315,544,635,792,992/218,035,181
  6. Step 6: Final answer
    x = 515,125,788.97

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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.