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Finding the Third Proportional to 319,467,296 and 467,220,144

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Solution

The third proportional to 319,467,296 and 467,220,144 is: 683,308,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,467,296 : 467,220,144 = 467,220,144 : x
  2. Step 2: Convert to fraction form
    319,467,296/467,220,144 = 467,220,144/x
  3. Step 3: Cross multiply
    319,467,296x = 467,220,144 × 467,220,144
  4. Step 4: Simplify right side
    319,467,296x = 218,294,662,959,380,736
  5. Step 5: Solve for x
    x = 218,294,662,959,380,736/319,467,296
  6. Step 6: Final answer
    x = 683,308,325.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.