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Finding the Third Proportional to 189,305,760 and 290,796,828.75

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Solution

The third proportional to 189,305,760 and 290,796,828.75 is: 446,699,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,305,760 : 290,796,828.75 = 290,796,828.75 : x
  2. Step 2: Convert to fraction form
    189,305,760/290,796,828.75 = 290,796,828.75/x
  3. Step 3: Cross multiply
    189,305,760x = 290,796,828.75 × 290,796,828.75
  4. Step 4: Simplify right side
    189,305,760x = 84,562,795,611,056,832
  5. Step 5: Solve for x
    x = 84,562,795,611,056,832/189,305,760
  6. Step 6: Final answer
    x = 446,699,538.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.