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Finding the Third Proportional to 146,982,552 and 320,860,830

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Solution

The third proportional to 146,982,552 and 320,860,830 is: 700,434,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,982,552 : 320,860,830 = 320,860,830 : x
  2. Step 2: Convert to fraction form
    146,982,552/320,860,830 = 320,860,830/x
  3. Step 3: Cross multiply
    146,982,552x = 320,860,830 × 320,860,830
  4. Step 4: Simplify right side
    146,982,552x = 102,951,672,228,288,896
  5. Step 5: Solve for x
    x = 102,951,672,228,288,896/146,982,552
  6. Step 6: Final answer
    x = 700,434,649.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.