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Finding the Third Proportional to 200,292,110 and 427,040,360

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Solution

The third proportional to 200,292,110 and 427,040,360 is: 910,487,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,292,110 : 427,040,360 = 427,040,360 : x
  2. Step 2: Convert to fraction form
    200,292,110/427,040,360 = 427,040,360/x
  3. Step 3: Cross multiply
    200,292,110x = 427,040,360 × 427,040,360
  4. Step 4: Simplify right side
    200,292,110x = 182,363,469,068,929,600
  5. Step 5: Solve for x
    x = 182,363,469,068,929,600/200,292,110
  6. Step 6: Final answer
    x = 910,487,532.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.