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Finding the Third Proportional to 226,099,496.18 and 489,760,768.62

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Solution

The third proportional to 226,099,496.18 and 489,760,768.62 is: 1,060,885,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,099,496.18 : 489,760,768.62 = 489,760,768.62 : x
  2. Step 2: Convert to fraction form
    226,099,496.18/489,760,768.62 = 489,760,768.62/x
  3. Step 3: Cross multiply
    226,099,496.18x = 489,760,768.62 × 489,760,768.62
  4. Step 4: Simplify right side
    226,099,496.18x = 239,865,610,476,490,912
  5. Step 5: Solve for x
    x = 239,865,610,476,490,912/226,099,496.18
  6. Step 6: Final answer
    x = 1,060,885,205.54

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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.