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Finding the Third Proportional to 229,936,614 and 347,292,177

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Solution

The third proportional to 229,936,614 and 347,292,177 is: 524,543,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,936,614 : 347,292,177 = 347,292,177 : x
  2. Step 2: Convert to fraction form
    229,936,614/347,292,177 = 347,292,177/x
  3. Step 3: Cross multiply
    229,936,614x = 347,292,177 × 347,292,177
  4. Step 4: Simplify right side
    229,936,614x = 120,611,856,205,399,328
  5. Step 5: Solve for x
    x = 120,611,856,205,399,328/229,936,614
  6. Step 6: Final answer
    x = 524,543,934.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.