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Finding the Third Proportional to 120,743,812 and 188,290,167

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Solution

The third proportional to 120,743,812 and 188,290,167 is: 293,623,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,812 : 188,290,167 = 188,290,167 : x
  2. Step 2: Convert to fraction form
    120,743,812/188,290,167 = 188,290,167/x
  3. Step 3: Cross multiply
    120,743,812x = 188,290,167 × 188,290,167
  4. Step 4: Simplify right side
    120,743,812x = 35,453,186,988,887,888
  5. Step 5: Solve for x
    x = 35,453,186,988,887,888/120,743,812
  6. Step 6: Final answer
    x = 293,623,220.95

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