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Finding the Third Proportional to 263,555,188,998 and 371,143,783,045.50

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Solution

The third proportional to 263,555,188,998 and 371,143,783,045.50 is: 522,652,231,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,555,188,998 : 371,143,783,045.50 = 371,143,783,045.50 : x
  2. Step 2: Convert to fraction form
    263,555,188,998/371,143,783,045.50 = 371,143,783,045.50/x
  3. Step 3: Cross multiply
    263,555,188,998x = 371,143,783,045.50 × 371,143,783,045.50
  4. Step 4: Simplify right side
    263,555,188,998x = 137,747,707,693,325,168,410,624
  5. Step 5: Solve for x
    x = 137,747,707,693,325,168,410,624/263,555,188,998
  6. Step 6: Final answer
    x = 522,652,231,652.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.