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Finding the Third Proportional to 66,761,833.50 and 140,697,027

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Solution

The third proportional to 66,761,833.50 and 140,697,027 is: 296,511,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761,833.50 : 140,697,027 = 140,697,027 : x
  2. Step 2: Convert to fraction form
    66,761,833.50/140,697,027 = 140,697,027/x
  3. Step 3: Cross multiply
    66,761,833.50x = 140,697,027 × 140,697,027
  4. Step 4: Simplify right side
    66,761,833.50x = 19,795,653,406,638,728
  5. Step 5: Solve for x
    x = 19,795,653,406,638,728/66,761,833.50
  6. Step 6: Final answer
    x = 296,511,530.15

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.