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Finding the Third Proportional to 85,412,880 and 201,542,976

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Solution

The third proportional to 85,412,880 and 201,542,976 is: 475,567,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412,880 : 201,542,976 = 201,542,976 : x
  2. Step 2: Convert to fraction form
    85,412,880/201,542,976 = 201,542,976/x
  3. Step 3: Cross multiply
    85,412,880x = 201,542,976 × 201,542,976
  4. Step 4: Simplify right side
    85,412,880x = 40,619,571,174,936,576
  5. Step 5: Solve for x
    x = 40,619,571,174,936,576/85,412,880
  6. Step 6: Final answer
    x = 475,567,281.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.