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Finding the Third Proportional to 189,080,096 and 411,288,864

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Solution

The third proportional to 189,080,096 and 411,288,864 is: 894,639,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,096 : 411,288,864 = 411,288,864 : x
  2. Step 2: Convert to fraction form
    189,080,096/411,288,864 = 411,288,864/x
  3. Step 3: Cross multiply
    189,080,096x = 411,288,864 × 411,288,864
  4. Step 4: Simplify right side
    189,080,096x = 169,158,529,650,410,496
  5. Step 5: Solve for x
    x = 169,158,529,650,410,496/189,080,096
  6. Step 6: Final answer
    x = 894,639,537.58

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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.