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Finding the Third Proportional to 259,851,019 and 541,196,285

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Solution

The third proportional to 259,851,019 and 541,196,285 is: 1,127,159,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,851,019 : 541,196,285 = 541,196,285 : x
  2. Step 2: Convert to fraction form
    259,851,019/541,196,285 = 541,196,285/x
  3. Step 3: Cross multiply
    259,851,019x = 541,196,285 × 541,196,285
  4. Step 4: Simplify right side
    259,851,019x = 292,893,418,897,801,216
  5. Step 5: Solve for x
    x = 292,893,418,897,801,216/259,851,019
  6. Step 6: Final answer
    x = 1,127,159,016.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.