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Finding the Third Proportional to 203,662,648 and 453,422,936

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Solution

The third proportional to 203,662,648 and 453,422,936 is: 1,009,475,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,662,648 : 453,422,936 = 453,422,936 : x
  2. Step 2: Convert to fraction form
    203,662,648/453,422,936 = 453,422,936/x
  3. Step 3: Cross multiply
    203,662,648x = 453,422,936 × 453,422,936
  4. Step 4: Simplify right side
    203,662,648x = 205,592,358,890,860,096
  5. Step 5: Solve for x
    x = 205,592,358,890,860,096/203,662,648
  6. Step 6: Final answer
    x = 1,009,475,035.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.