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Finding the Third Proportional to 80,032,347 and 172,198,170

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Solution

The third proportional to 80,032,347 and 172,198,170 is: 370,502,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032,347 : 172,198,170 = 172,198,170 : x
  2. Step 2: Convert to fraction form
    80,032,347/172,198,170 = 172,198,170/x
  3. Step 3: Cross multiply
    80,032,347x = 172,198,170 × 172,198,170
  4. Step 4: Simplify right side
    80,032,347x = 29,652,209,751,348,900
  5. Step 5: Solve for x
    x = 29,652,209,751,348,900/80,032,347
  6. Step 6: Final answer
    x = 370,502,813.71

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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.