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Finding the Third Proportional to 121,285,555.50 and 263,821,623

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Solution

The third proportional to 121,285,555.50 and 263,821,623 is: 573,867,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,285,555.50 : 263,821,623 = 263,821,623 : x
  2. Step 2: Convert to fraction form
    121,285,555.50/263,821,623 = 263,821,623/x
  3. Step 3: Cross multiply
    121,285,555.50x = 263,821,623 × 263,821,623
  4. Step 4: Simplify right side
    121,285,555.50x = 69,601,848,762,354,128
  5. Step 5: Solve for x
    x = 69,601,848,762,354,128/121,285,555.50
  6. Step 6: Final answer
    x = 573,867,584.44

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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.