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Finding the Third Proportional to 227,904,680 and 490,361,328

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Solution

The third proportional to 227,904,680 and 490,361,328 is: 1,055,064,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,904,680 : 490,361,328 = 490,361,328 : x
  2. Step 2: Convert to fraction form
    227,904,680/490,361,328 = 490,361,328/x
  3. Step 3: Cross multiply
    227,904,680x = 490,361,328 × 490,361,328
  4. Step 4: Simplify right side
    227,904,680x = 240,454,231,997,923,584
  5. Step 5: Solve for x
    x = 240,454,231,997,923,584/227,904,680
  6. Step 6: Final answer
    x = 1,055,064,915.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.