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Finding the Third Proportional to 96,397,832 and 212,351,008

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Solution

The third proportional to 96,397,832 and 212,351,008 is: 467,779,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,397,832 : 212,351,008 = 212,351,008 : x
  2. Step 2: Convert to fraction form
    96,397,832/212,351,008 = 212,351,008/x
  3. Step 3: Cross multiply
    96,397,832x = 212,351,008 × 212,351,008
  4. Step 4: Simplify right side
    96,397,832x = 45,092,950,598,616,064
  5. Step 5: Solve for x
    x = 45,092,950,598,616,064/96,397,832
  6. Step 6: Final answer
    x = 467,779,717.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.