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Finding the Third Proportional to 218,033,715 and 335,133,414

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Solution

The third proportional to 218,033,715 and 335,133,414 is: 515,124,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,033,715 : 335,133,414 = 335,133,414 : x
  2. Step 2: Convert to fraction form
    218,033,715/335,133,414 = 335,133,414/x
  3. Step 3: Cross multiply
    218,033,715x = 335,133,414 × 335,133,414
  4. Step 4: Simplify right side
    218,033,715x = 112,314,405,179,295,392
  5. Step 5: Solve for x
    x = 112,314,405,179,295,392/218,033,715
  6. Step 6: Final answer
    x = 515,124,026.48

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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.