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Finding the Third Proportional to 86,512,194 and 129,785,513

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Solution

The third proportional to 86,512,194 and 129,785,513 is: 194,704,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512,194 : 129,785,513 = 129,785,513 : x
  2. Step 2: Convert to fraction form
    86,512,194/129,785,513 = 129,785,513/x
  3. Step 3: Cross multiply
    86,512,194x = 129,785,513 × 129,785,513
  4. Step 4: Simplify right side
    86,512,194x = 16,844,279,384,673,168
  5. Step 5: Solve for x
    x = 16,844,279,384,673,168/86,512,194
  6. Step 6: Final answer
    x = 194,704,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.