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Finding the Third Proportional to 199,250,274 and 411,233,298

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Solution

The third proportional to 199,250,274 and 411,233,298 is: 848,745,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,250,274 : 411,233,298 = 411,233,298 : x
  2. Step 2: Convert to fraction form
    199,250,274/411,233,298 = 411,233,298/x
  3. Step 3: Cross multiply
    199,250,274x = 411,233,298 × 411,233,298
  4. Step 4: Simplify right side
    199,250,274x = 169,112,825,383,956,800
  5. Step 5: Solve for x
    x = 169,112,825,383,956,800/199,250,274
  6. Step 6: Final answer
    x = 848,745,760.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.