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Finding the Third Proportional to 67,194,589,142 and 143,973,568,368

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Solution

The third proportional to 67,194,589,142 and 143,973,568,368 is: 308,482,999,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194,589,142 : 143,973,568,368 = 143,973,568,368 : x
  2. Step 2: Convert to fraction form
    67,194,589,142/143,973,568,368 = 143,973,568,368/x
  3. Step 3: Cross multiply
    67,194,589,142x = 143,973,568,368 × 143,973,568,368
  4. Step 4: Simplify right side
    67,194,589,142x = 20,728,388,388,615,171,866,624
  5. Step 5: Solve for x
    x = 20,728,388,388,615,171,866,624/67,194,589,142
  6. Step 6: Final answer
    x = 308,482,999,201.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.