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Finding the Third Proportional to 68,993,835.75 and 140,015,020.50

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Solution

The third proportional to 68,993,835.75 and 140,015,020.50 is: 284,144,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,993,835.75 : 140,015,020.50 = 140,015,020.50 : x
  2. Step 2: Convert to fraction form
    68,993,835.75/140,015,020.50 = 140,015,020.50/x
  3. Step 3: Cross multiply
    68,993,835.75x = 140,015,020.50 × 140,015,020.50
  4. Step 4: Simplify right side
    68,993,835.75x = 19,604,205,965,615,420
  5. Step 5: Solve for x
    x = 19,604,205,965,615,420/68,993,835.75
  6. Step 6: Final answer
    x = 284,144,311.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.