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Finding the Third Proportional to 86,512,320 and 129,785,706

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Solution

The third proportional to 86,512,320 and 129,785,706 is: 194,704,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512,320 : 129,785,706 = 129,785,706 : x
  2. Step 2: Convert to fraction form
    86,512,320/129,785,706 = 129,785,706/x
  3. Step 3: Cross multiply
    86,512,320x = 129,785,706 × 129,785,706
  4. Step 4: Simplify right side
    86,512,320x = 16,844,329,481,918,436
  5. Step 5: Solve for x
    x = 16,844,329,481,918,436/86,512,320
  6. Step 6: Final answer
    x = 194,704,401.43

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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.