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Finding the Third Proportional to 218,643,936 and 335,273,694

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Solution

The third proportional to 218,643,936 and 335,273,694 is: 514,116,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643,936 : 335,273,694 = 335,273,694 : x
  2. Step 2: Convert to fraction form
    218,643,936/335,273,694 = 335,273,694/x
  3. Step 3: Cross multiply
    218,643,936x = 335,273,694 × 335,273,694
  4. Step 4: Simplify right side
    218,643,936x = 112,408,449,888,405,632
  5. Step 5: Solve for x
    x = 112,408,449,888,405,632/218,643,936
  6. Step 6: Final answer
    x = 514,116,476.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.