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Finding the Third Proportional to 83,188,084 and 179,529,320

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Solution

The third proportional to 83,188,084 and 179,529,320 is: 387,444,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188,084 : 179,529,320 = 179,529,320 : x
  2. Step 2: Convert to fraction form
    83,188,084/179,529,320 = 179,529,320/x
  3. Step 3: Cross multiply
    83,188,084x = 179,529,320 × 179,529,320
  4. Step 4: Simplify right side
    83,188,084x = 32,230,776,739,662,400
  5. Step 5: Solve for x
    x = 32,230,776,739,662,400/83,188,084
  6. Step 6: Final answer
    x = 387,444,633.77

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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.