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Finding the Third Proportional to 414,694,201.50 and 890,930,157.75

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Solution

The third proportional to 414,694,201.50 and 890,930,157.75 is: 1,914,076,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,694,201.50 : 890,930,157.75 = 890,930,157.75 : x
  2. Step 2: Convert to fraction form
    414,694,201.50/890,930,157.75 = 890,930,157.75/x
  3. Step 3: Cross multiply
    414,694,201.50x = 890,930,157.75 × 890,930,157.75
  4. Step 4: Simplify right side
    414,694,201.50x = 793,756,545,988,439,936
  5. Step 5: Solve for x
    x = 793,756,545,988,439,936/414,694,201.50
  6. Step 6: Final answer
    x = 1,914,076,789.88

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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.