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Finding the Third Proportional to 218,035,134 and 335,135,022

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Solution

The third proportional to 218,035,134 and 335,135,022 is: 515,125,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,035,134 : 335,135,022 = 335,135,022 : x
  2. Step 2: Convert to fraction form
    218,035,134/335,135,022 = 335,135,022/x
  3. Step 3: Cross multiply
    218,035,134x = 335,135,022 × 335,135,022
  4. Step 4: Simplify right side
    218,035,134x = 112,315,482,970,940,480
  5. Step 5: Solve for x
    x = 112,315,482,970,940,480/218,035,134
  6. Step 6: Final answer
    x = 515,125,617.19

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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.