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Finding the Third Proportional to 188,200,789.88 and 407,668,025.25

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Solution

The third proportional to 188,200,789.88 and 407,668,025.25 is: 883,063,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,200,789.88 : 407,668,025.25 = 407,668,025.25 : x
  2. Step 2: Convert to fraction form
    188,200,789.88/407,668,025.25 = 407,668,025.25/x
  3. Step 3: Cross multiply
    188,200,789.88x = 407,668,025.25 × 407,668,025.25
  4. Step 4: Simplify right side
    188,200,789.88x = 166,193,218,811,234,624
  5. Step 5: Solve for x
    x = 166,193,218,811,234,624/188,200,789.88
  6. Step 6: Final answer
    x = 883,063,343.79

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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.