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Finding the Third Proportional to 226,099,512 and 489,760,800.75

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Solution

The third proportional to 226,099,512 and 489,760,800.75 is: 1,060,885,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,099,512 : 489,760,800.75 = 489,760,800.75 : x
  2. Step 2: Convert to fraction form
    226,099,512/489,760,800.75 = 489,760,800.75/x
  3. Step 3: Cross multiply
    226,099,512x = 489,760,800.75 × 489,760,800.75
  4. Step 4: Simplify right side
    226,099,512x = 239,865,641,951,281,216
  5. Step 5: Solve for x
    x = 239,865,641,951,281,216/226,099,512
  6. Step 6: Final answer
    x = 1,060,885,270.51

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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.