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Finding the Third Proportional to 120,743,869 and 188,290,259

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Solution

The third proportional to 120,743,869 and 188,290,259 is: 293,623,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,869 : 188,290,259 = 188,290,259 : x
  2. Step 2: Convert to fraction form
    120,743,869/188,290,259 = 188,290,259/x
  3. Step 3: Cross multiply
    120,743,869x = 188,290,259 × 188,290,259
  4. Step 4: Simplify right side
    120,743,869x = 35,453,221,634,287,080
  5. Step 5: Solve for x
    x = 35,453,221,634,287,080/120,743,869
  6. Step 6: Final answer
    x = 293,623,369.27

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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.