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Finding the Third Proportional to 104,741,262 and 227,612,571.75

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Solution

The third proportional to 104,741,262 and 227,612,571.75 is: 494,623,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,741,262 : 227,612,571.75 = 227,612,571.75 : x
  2. Step 2: Convert to fraction form
    104,741,262/227,612,571.75 = 227,612,571.75/x
  3. Step 3: Cross multiply
    104,741,262x = 227,612,571.75 × 227,612,571.75
  4. Step 4: Simplify right side
    104,741,262x = 51,807,482,818,648,896
  5. Step 5: Solve for x
    x = 51,807,482,818,648,896/104,741,262
  6. Step 6: Final answer
    x = 494,623,435.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.