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Finding the Third Proportional to 83,188,100 and 179,529,352

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Solution

The third proportional to 83,188,100 and 179,529,352 is: 387,444,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188,100 : 179,529,352 = 179,529,352 : x
  2. Step 2: Convert to fraction form
    83,188,100/179,529,352 = 179,529,352/x
  3. Step 3: Cross multiply
    83,188,100x = 179,529,352 × 179,529,352
  4. Step 4: Simplify right side
    83,188,100x = 32,230,788,229,539,904
  5. Step 5: Solve for x
    x = 32,230,788,229,539,904/83,188,100
  6. Step 6: Final answer
    x = 387,444,697.37

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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.