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Finding the Third Proportional to 229,151,684 and 468,892,824

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Solution

The third proportional to 229,151,684 and 468,892,824 is: 959,453,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151,684 : 468,892,824 = 468,892,824 : x
  2. Step 2: Convert to fraction form
    229,151,684/468,892,824 = 468,892,824/x
  3. Step 3: Cross multiply
    229,151,684x = 468,892,824 × 468,892,824
  4. Step 4: Simplify right side
    229,151,684x = 219,860,480,398,694,976
  5. Step 5: Solve for x
    x = 219,860,480,398,694,976/229,151,684
  6. Step 6: Final answer
    x = 959,453,915.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.