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Finding the Third Proportional to 83,188,102 and 179,529,356

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Solution

The third proportional to 83,188,102 and 179,529,356 is: 387,444,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188,102 : 179,529,356 = 179,529,356 : x
  2. Step 2: Convert to fraction form
    83,188,102/179,529,356 = 179,529,356/x
  3. Step 3: Cross multiply
    83,188,102x = 179,529,356 × 179,529,356
  4. Step 4: Simplify right side
    83,188,102x = 32,230,789,665,774,736
  5. Step 5: Solve for x
    x = 32,230,789,665,774,736/83,188,102
  6. Step 6: Final answer
    x = 387,444,705.32

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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.