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Finding the Third Proportional to 156,504,713 and 343,242,514

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Solution

The third proportional to 156,504,713 and 343,242,514 is: 752,791,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,504,713 : 343,242,514 = 343,242,514 : x
  2. Step 2: Convert to fraction form
    156,504,713/343,242,514 = 343,242,514/x
  3. Step 3: Cross multiply
    156,504,713x = 343,242,514 × 343,242,514
  4. Step 4: Simplify right side
    156,504,713x = 117,815,423,417,040,192
  5. Step 5: Solve for x
    x = 117,815,423,417,040,192/156,504,713
  6. Step 6: Final answer
    x = 752,791,536.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.