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Finding the Third Proportional to 119,565,297,589.50 and 263,501,810,764.50

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Solution

The third proportional to 119,565,297,589.50 and 263,501,810,764.50 is: 580,713,682,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565,297,589.50 : 263,501,810,764.50 = 263,501,810,764.50 : x
  2. Step 2: Convert to fraction form
    119,565,297,589.50/263,501,810,764.50 = 263,501,810,764.50/x
  3. Step 3: Cross multiply
    119,565,297,589.50x = 263,501,810,764.50 × 263,501,810,764.50
  4. Step 4: Simplify right side
    119,565,297,589.50x = 69,433,204,276,170,365,861,888
  5. Step 5: Solve for x
    x = 69,433,204,276,170,365,861,888/119,565,297,589.50
  6. Step 6: Final answer
    x = 580,713,682,615.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.