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Finding the Third Proportional to 66,084,212 and 143,149,576

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Solution

The third proportional to 66,084,212 and 143,149,576 is: 310,086,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084,212 : 143,149,576 = 143,149,576 : x
  2. Step 2: Convert to fraction form
    66,084,212/143,149,576 = 143,149,576/x
  3. Step 3: Cross multiply
    66,084,212x = 143,149,576 × 143,149,576
  4. Step 4: Simplify right side
    66,084,212x = 20,491,801,108,979,776
  5. Step 5: Solve for x
    x = 20,491,801,108,979,776/66,084,212
  6. Step 6: Final answer
    x = 310,086,183.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.