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Finding the Third Proportional to 199,250,276 and 411,233,302

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Solution

The third proportional to 199,250,276 and 411,233,302 is: 848,745,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,250,276 : 411,233,302 = 411,233,302 : x
  2. Step 2: Convert to fraction form
    199,250,276/411,233,302 = 411,233,302/x
  3. Step 3: Cross multiply
    199,250,276x = 411,233,302 × 411,233,302
  4. Step 4: Simplify right side
    199,250,276x = 169,112,828,673,823,200
  5. Step 5: Solve for x
    x = 169,112,828,673,823,200/199,250,276
  6. Step 6: Final answer
    x = 848,745,768.73

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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.