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Finding the Third Proportional to 188,200,768.50 and 407,667,982.50

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Solution

The third proportional to 188,200,768.50 and 407,667,982.50 is: 883,063,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,200,768.50 : 407,667,982.50 = 407,667,982.50 : x
  2. Step 2: Convert to fraction form
    188,200,768.50/407,667,982.50 = 407,667,982.50/x
  3. Step 3: Cross multiply
    188,200,768.50x = 407,667,982.50 × 407,667,982.50
  4. Step 4: Simplify right side
    188,200,768.50x = 166,193,183,955,620,320
  5. Step 5: Solve for x
    x = 166,193,183,955,620,320/188,200,768.50
  6. Step 6: Final answer
    x = 883,063,258.88

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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.