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Finding the Third Proportional to 137,969,413.50 and 300,433,227

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Solution

The third proportional to 137,969,413.50 and 300,433,227 is: 654,203,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969,413.50 : 300,433,227 = 300,433,227 : x
  2. Step 2: Convert to fraction form
    137,969,413.50/300,433,227 = 300,433,227/x
  3. Step 3: Cross multiply
    137,969,413.50x = 300,433,227 × 300,433,227
  4. Step 4: Simplify right side
    137,969,413.50x = 90,260,123,885,633,536
  5. Step 5: Solve for x
    x = 90,260,123,885,633,536/137,969,413.50
  6. Step 6: Final answer
    x = 654,203,867.33

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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.