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Finding the Third Proportional to 204,467,721 and 440,113,318

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Solution

The third proportional to 204,467,721 and 440,113,318 is: 947,336,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467,721 : 440,113,318 = 440,113,318 : x
  2. Step 2: Convert to fraction form
    204,467,721/440,113,318 = 440,113,318/x
  3. Step 3: Cross multiply
    204,467,721x = 440,113,318 × 440,113,318
  4. Step 4: Simplify right side
    204,467,721x = 193,699,732,680,969,120
  5. Step 5: Solve for x
    x = 193,699,732,680,969,120/204,467,721
  6. Step 6: Final answer
    x = 947,336,487.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.