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Finding the Third Proportional to 188,200,771 and 407,667,987

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Solution

The third proportional to 188,200,771 and 407,667,987 is: 883,063,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,200,771 : 407,667,987 = 407,667,987 : x
  2. Step 2: Convert to fraction form
    188,200,771/407,667,987 = 407,667,987/x
  3. Step 3: Cross multiply
    188,200,771x = 407,667,987 × 407,667,987
  4. Step 4: Simplify right side
    188,200,771x = 166,193,187,624,632,160
  5. Step 5: Solve for x
    x = 166,193,187,624,632,160/188,200,771
  6. Step 6: Final answer
    x = 883,063,266.65

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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.