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Finding the Third Proportional to 227,611,296 and 353,092,608

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Solution

The third proportional to 227,611,296 and 353,092,608 is: 547,751,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,611,296 : 353,092,608 = 353,092,608 : x
  2. Step 2: Convert to fraction form
    227,611,296/353,092,608 = 353,092,608/x
  3. Step 3: Cross multiply
    227,611,296x = 353,092,608 × 353,092,608
  4. Step 4: Simplify right side
    227,611,296x = 124,674,389,824,241,664
  5. Step 5: Solve for x
    x = 124,674,389,824,241,664/227,611,296
  6. Step 6: Final answer
    x = 547,751,328.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.