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Finding the Third Proportional to 200,286,576 and 422,092,908

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Solution

The third proportional to 200,286,576 and 422,092,908 is: 889,537,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,286,576 : 422,092,908 = 422,092,908 : x
  2. Step 2: Convert to fraction form
    200,286,576/422,092,908 = 422,092,908/x
  3. Step 3: Cross multiply
    200,286,576x = 422,092,908 × 422,092,908
  4. Step 4: Simplify right side
    200,286,576x = 178,162,422,983,896,448
  5. Step 5: Solve for x
    x = 178,162,422,983,896,448/200,286,576
  6. Step 6: Final answer
    x = 889,537,514.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.