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Finding the Third Proportional to 201,034,569 and 437,667,339

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Solution

The third proportional to 201,034,569 and 437,667,339 is: 952,834,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,034,569 : 437,667,339 = 437,667,339 : x
  2. Step 2: Convert to fraction form
    201,034,569/437,667,339 = 437,667,339/x
  3. Step 3: Cross multiply
    201,034,569x = 437,667,339 × 437,667,339
  4. Step 4: Simplify right side
    201,034,569x = 191,552,699,627,340,928
  5. Step 5: Solve for x
    x = 191,552,699,627,340,928/201,034,569
  6. Step 6: Final answer
    x = 952,834,632.27

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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.