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Finding the Third Proportional to 120,743,841 and 188,290,218

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Solution

The third proportional to 120,743,841 and 188,290,218 is: 293,623,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,841 : 188,290,218 = 188,290,218 : x
  2. Step 2: Convert to fraction form
    120,743,841/188,290,218 = 188,290,218/x
  3. Step 3: Cross multiply
    120,743,841x = 188,290,218 × 188,290,218
  4. Step 4: Simplify right side
    120,743,841x = 35,453,206,194,487,524
  5. Step 5: Solve for x
    x = 35,453,206,194,487,524/120,743,841
  6. Step 6: Final answer
    x = 293,623,309.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.