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Finding the Third Proportional to 301,443,163.03 and 649,073,374.03

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Solution

The third proportional to 301,443,163.03 and 649,073,374.03 is: 1,397,597,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,443,163.03 : 649,073,374.03 = 649,073,374.03 : x
  2. Step 2: Convert to fraction form
    301,443,163.03/649,073,374.03 = 649,073,374.03/x
  3. Step 3: Cross multiply
    301,443,163.03x = 649,073,374.03 × 649,073,374.03
  4. Step 4: Simplify right side
    301,443,163.03x = 421,296,244,876,310,976
  5. Step 5: Solve for x
    x = 421,296,244,876,310,976/301,443,163.03
  6. Step 6: Final answer
    x = 1,397,597,612.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.