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Finding the Third Proportional to 188,240,449.50 and 407,740,041

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Solution

The third proportional to 188,240,449.50 and 407,740,041 is: 883,189,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,240,449.50 : 407,740,041 = 407,740,041 : x
  2. Step 2: Convert to fraction form
    188,240,449.50/407,740,041 = 407,740,041/x
  3. Step 3: Cross multiply
    188,240,449.50x = 407,740,041 × 407,740,041
  4. Step 4: Simplify right side
    188,240,449.50x = 166,251,941,034,681,696
  5. Step 5: Solve for x
    x = 166,251,941,034,681,696/188,240,449.50
  6. Step 6: Final answer
    x = 883,189,247.99

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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.