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Finding the Third Proportional to 197,162,784 and 439,659,504

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Solution

The third proportional to 197,162,784 and 439,659,504 is: 980,410,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,162,784 : 439,659,504 = 439,659,504 : x
  2. Step 2: Convert to fraction form
    197,162,784/439,659,504 = 439,659,504/x
  3. Step 3: Cross multiply
    197,162,784x = 439,659,504 × 439,659,504
  4. Step 4: Simplify right side
    197,162,784x = 193,300,479,457,526,016
  5. Step 5: Solve for x
    x = 193,300,479,457,526,016/197,162,784
  6. Step 6: Final answer
    x = 980,410,580.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.