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Finding the Third Proportional to 196,449,392 and 327,395,921.50

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Solution

The third proportional to 196,449,392 and 327,395,921.50 is: 545,626,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,449,392 : 327,395,921.50 = 327,395,921.50 : x
  2. Step 2: Convert to fraction form
    196,449,392/327,395,921.50 = 327,395,921.50/x
  3. Step 3: Cross multiply
    196,449,392x = 327,395,921.50 × 327,395,921.50
  4. Step 4: Simplify right side
    196,449,392x = 107,188,089,414,834,160
  5. Step 5: Solve for x
    x = 107,188,089,414,834,160/196,449,392
  6. Step 6: Final answer
    x = 545,626,984.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.