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Finding the Third Proportional to 243,416,172 and 541,256,568

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Solution

The third proportional to 243,416,172 and 541,256,568 is: 1,203,530,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,416,172 : 541,256,568 = 541,256,568 : x
  2. Step 2: Convert to fraction form
    243,416,172/541,256,568 = 541,256,568/x
  3. Step 3: Cross multiply
    243,416,172x = 541,256,568 × 541,256,568
  4. Step 4: Simplify right side
    243,416,172x = 292,958,672,403,138,624
  5. Step 5: Solve for x
    x = 292,958,672,403,138,624/243,416,172
  6. Step 6: Final answer
    x = 1,203,530,028.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.