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Finding the Third Proportional to 191,728,299 and 419,328,978

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Solution

The third proportional to 191,728,299 and 419,328,978 is: 917,114,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728,299 : 419,328,978 = 419,328,978 : x
  2. Step 2: Convert to fraction form
    191,728,299/419,328,978 = 419,328,978/x
  3. Step 3: Cross multiply
    191,728,299x = 419,328,978 × 419,328,978
  4. Step 4: Simplify right side
    191,728,299x = 175,836,791,790,524,480
  5. Step 5: Solve for x
    x = 175,836,791,790,524,480/191,728,299
  6. Step 6: Final answer
    x = 917,114,441.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.