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Finding the Third Proportional to 83,315,960 and 170,690,992

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Solution

The third proportional to 83,315,960 and 170,690,992 is: 349,697,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315,960 : 170,690,992 = 170,690,992 : x
  2. Step 2: Convert to fraction form
    83,315,960/170,690,992 = 170,690,992/x
  3. Step 3: Cross multiply
    83,315,960x = 170,690,992 × 170,690,992
  4. Step 4: Simplify right side
    83,315,960x = 29,135,414,749,944,064
  5. Step 5: Solve for x
    x = 29,135,414,749,944,064/83,315,960
  6. Step 6: Final answer
    x = 349,697,882.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.