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Finding the Third Proportional to 49,321,346 and 105,914,830

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Solution

The third proportional to 49,321,346 and 105,914,830 is: 227,446,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321,346 : 105,914,830 = 105,914,830 : x
  2. Step 2: Convert to fraction form
    49,321,346/105,914,830 = 105,914,830/x
  3. Step 3: Cross multiply
    49,321,346x = 105,914,830 × 105,914,830
  4. Step 4: Simplify right side
    49,321,346x = 11,217,951,213,928,900
  5. Step 5: Solve for x
    x = 11,217,951,213,928,900/49,321,346
  6. Step 6: Final answer
    x = 227,446,169.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.