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Finding the Third Proportional to 226,792,541.25 and 494,638,899.75

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Solution

The third proportional to 226,792,541.25 and 494,638,899.75 is: 1,078,816,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,792,541.25 : 494,638,899.75 = 494,638,899.75 : x
  2. Step 2: Convert to fraction form
    226,792,541.25/494,638,899.75 = 494,638,899.75/x
  3. Step 3: Cross multiply
    226,792,541.25x = 494,638,899.75 × 494,638,899.75
  4. Step 4: Simplify right side
    226,792,541.25x = 244,667,641,145,890,560
  5. Step 5: Solve for x
    x = 244,667,641,145,890,560/226,792,541.25
  6. Step 6: Final answer
    x = 1,078,816,965.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.