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Finding the Third Proportional to 144,550,689 and 220,213,843.50

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Solution

The third proportional to 144,550,689 and 220,213,843.50 is: 335,481,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,550,689 : 220,213,843.50 = 220,213,843.50 : x
  2. Step 2: Convert to fraction form
    144,550,689/220,213,843.50 = 220,213,843.50/x
  3. Step 3: Cross multiply
    144,550,689x = 220,213,843.50 × 220,213,843.50
  4. Step 4: Simplify right side
    144,550,689x = 48,494,136,869,042,496
  5. Step 5: Solve for x
    x = 48,494,136,869,042,496/144,550,689
  6. Step 6: Final answer
    x = 335,481,879.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.