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Finding the Third Proportional to 188,203,560.75 and 407,673,567

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Solution

The third proportional to 188,203,560.75 and 407,673,567 is: 883,074,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203,560.75 : 407,673,567 = 407,673,567 : x
  2. Step 2: Convert to fraction form
    188,203,560.75/407,673,567 = 407,673,567/x
  3. Step 3: Cross multiply
    188,203,560.75x = 407,673,567 × 407,673,567
  4. Step 4: Simplify right side
    188,203,560.75x = 166,197,737,230,503,488
  5. Step 5: Solve for x
    x = 166,197,737,230,503,488/188,203,560.75
  6. Step 6: Final answer
    x = 883,074,350.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.