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Finding the Third Proportional to 131,503,231.50 and 209,432,016

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Solution

The third proportional to 131,503,231.50 and 209,432,016 is: 333,541,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,503,231.50 : 209,432,016 = 209,432,016 : x
  2. Step 2: Convert to fraction form
    131,503,231.50/209,432,016 = 209,432,016/x
  3. Step 3: Cross multiply
    131,503,231.50x = 209,432,016 × 209,432,016
  4. Step 4: Simplify right side
    131,503,231.50x = 43,861,769,325,824,256
  5. Step 5: Solve for x
    x = 43,861,769,325,824,256/131,503,231.50
  6. Step 6: Final answer
    x = 333,541,380.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.