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Finding the Third Proportional to 68,510,763 and 159,863,845.50

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Solution

The third proportional to 68,510,763 and 159,863,845.50 is: 373,028,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,510,763 : 159,863,845.50 = 159,863,845.50 : x
  2. Step 2: Convert to fraction form
    68,510,763/159,863,845.50 = 159,863,845.50/x
  3. Step 3: Cross multiply
    68,510,763x = 159,863,845.50 × 159,863,845.50
  4. Step 4: Simplify right side
    68,510,763x = 25,556,449,098,047,872
  5. Step 5: Solve for x
    x = 25,556,449,098,047,872/68,510,763
  6. Step 6: Final answer
    x = 373,028,236.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.