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Finding the Third Proportional to 211,478,563.13 and 323,296,180.88

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Solution

The third proportional to 211,478,563.13 and 323,296,180.88 is: 494,236,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,563.13 : 323,296,180.88 = 323,296,180.88 : x
  2. Step 2: Convert to fraction form
    211,478,563.13/323,296,180.88 = 323,296,180.88/x
  3. Step 3: Cross multiply
    211,478,563.13x = 323,296,180.88 × 323,296,180.88
  4. Step 4: Simplify right side
    211,478,563.13x = 104,520,420,568,360,720
  5. Step 5: Solve for x
    x = 104,520,420,568,360,720/211,478,563.13
  6. Step 6: Final answer
    x = 494,236,479.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.