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Finding the Third Proportional to 201,034,571 and 437,667,343

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Solution

The third proportional to 201,034,571 and 437,667,343 is: 952,834,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,034,571 : 437,667,343 = 437,667,343 : x
  2. Step 2: Convert to fraction form
    201,034,571/437,667,343 = 437,667,343/x
  3. Step 3: Cross multiply
    201,034,571x = 437,667,343 × 437,667,343
  4. Step 4: Simplify right side
    201,034,571x = 191,552,703,128,679,648
  5. Step 5: Solve for x
    x = 191,552,703,128,679,648/201,034,571
  6. Step 6: Final answer
    x = 952,834,640.21

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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.