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Finding the Third Proportional to 83,447,568 and 169,253,400

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Solution

The third proportional to 83,447,568 and 169,253,400 is: 343,289,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447,568 : 169,253,400 = 169,253,400 : x
  2. Step 2: Convert to fraction form
    83,447,568/169,253,400 = 169,253,400/x
  3. Step 3: Cross multiply
    83,447,568x = 169,253,400 × 169,253,400
  4. Step 4: Simplify right side
    83,447,568x = 28,646,713,411,560,000
  5. Step 5: Solve for x
    x = 28,646,713,411,560,000/83,447,568
  6. Step 6: Final answer
    x = 343,289,973.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.