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Finding the Third Proportional to 85,972,797 and 181,649,394

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Solution

The third proportional to 85,972,797 and 181,649,394 is: 383,801,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972,797 : 181,649,394 = 181,649,394 : x
  2. Step 2: Convert to fraction form
    85,972,797/181,649,394 = 181,649,394/x
  3. Step 3: Cross multiply
    85,972,797x = 181,649,394 × 181,649,394
  4. Step 4: Simplify right side
    85,972,797x = 32,996,502,340,567,236
  5. Step 5: Solve for x
    x = 32,996,502,340,567,236/85,972,797
  6. Step 6: Final answer
    x = 383,801,661.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.