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Finding the Third Proportional to 206,865,211.50 and 445,115,250

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Solution

The third proportional to 206,865,211.50 and 445,115,250 is: 957,761,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,865,211.50 : 445,115,250 = 445,115,250 : x
  2. Step 2: Convert to fraction form
    206,865,211.50/445,115,250 = 445,115,250/x
  3. Step 3: Cross multiply
    206,865,211.50x = 445,115,250 × 445,115,250
  4. Step 4: Simplify right side
    206,865,211.50x = 198,127,585,782,562,496
  5. Step 5: Solve for x
    x = 198,127,585,782,562,496/206,865,211.50
  6. Step 6: Final answer
    x = 957,761,744.21

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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.