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Finding the Third Proportional to 251,404,858 and 541,232,021

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Solution

The third proportional to 251,404,858 and 541,232,021 is: 1,165,180,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,404,858 : 541,232,021 = 541,232,021 : x
  2. Step 2: Convert to fraction form
    251,404,858/541,232,021 = 541,232,021/x
  3. Step 3: Cross multiply
    251,404,858x = 541,232,021 × 541,232,021
  4. Step 4: Simplify right side
    251,404,858x = 292,932,100,555,744,448
  5. Step 5: Solve for x
    x = 292,932,100,555,744,448/251,404,858
  6. Step 6: Final answer
    x = 1,165,180,748.24

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Why These Related Problems?

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