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Finding the Third Proportional to 82,027,224 and 119,926,667

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Solution

The third proportional to 82,027,224 and 119,926,667 is: 175,336,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,224 : 119,926,667 = 119,926,667 : x
  2. Step 2: Convert to fraction form
    82,027,224/119,926,667 = 119,926,667/x
  3. Step 3: Cross multiply
    82,027,224x = 119,926,667 × 119,926,667
  4. Step 4: Simplify right side
    82,027,224x = 14,382,405,457,728,888
  5. Step 5: Solve for x
    x = 14,382,405,457,728,888/82,027,224
  6. Step 6: Final answer
    x = 175,336,976.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.