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Finding the Third Proportional to 308,093,743.88 and 477,229,845

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Solution

The third proportional to 308,093,743.88 and 477,229,845 is: 739,217,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,093,743.88 : 477,229,845 = 477,229,845 : x
  2. Step 2: Convert to fraction form
    308,093,743.88/477,229,845 = 477,229,845/x
  3. Step 3: Cross multiply
    308,093,743.88x = 477,229,845 × 477,229,845
  4. Step 4: Simplify right side
    308,093,743.88x = 227,748,324,958,724,032
  5. Step 5: Solve for x
    x = 227,748,324,958,724,032/308,093,743.88
  6. Step 6: Final answer
    x = 739,217,622.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.