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Finding the Third Proportional to 85,955,953 and 185,524,208

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Solution

The third proportional to 85,955,953 and 185,524,208 is: 400,428,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,955,953 : 185,524,208 = 185,524,208 : x
  2. Step 2: Convert to fraction form
    85,955,953/185,524,208 = 185,524,208/x
  3. Step 3: Cross multiply
    85,955,953x = 185,524,208 × 185,524,208
  4. Step 4: Simplify right side
    85,955,953x = 34,419,231,754,027,264
  5. Step 5: Solve for x
    x = 34,419,231,754,027,264/85,955,953
  6. Step 6: Final answer
    x = 400,428,714.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.