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Finding the Third Proportional to 204,670,857 and 445,202,134.50

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Solution

The third proportional to 204,670,857 and 445,202,134.50 is: 968,408,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,670,857 : 445,202,134.50 = 445,202,134.50 : x
  2. Step 2: Convert to fraction form
    204,670,857/445,202,134.50 = 445,202,134.50/x
  3. Step 3: Cross multiply
    204,670,857x = 445,202,134.50 × 445,202,134.50
  4. Step 4: Simplify right side
    204,670,857x = 198,204,940,563,356,096
  5. Step 5: Solve for x
    x = 198,204,940,563,356,096/204,670,857
  6. Step 6: Final answer
    x = 968,408,221.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.