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Finding the Third Proportional to 184,169,096 and 276,186,018

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Solution

The third proportional to 184,169,096 and 276,186,018 is: 414,177,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,169,096 : 276,186,018 = 276,186,018 : x
  2. Step 2: Convert to fraction form
    184,169,096/276,186,018 = 276,186,018/x
  3. Step 3: Cross multiply
    184,169,096x = 276,186,018 × 276,186,018
  4. Step 4: Simplify right side
    184,169,096x = 76,278,716,538,696,320
  5. Step 5: Solve for x
    x = 76,278,716,538,696,320/184,169,096
  6. Step 6: Final answer
    x = 414,177,612.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.