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Finding the Third Proportional to 82,057,356 and 129,935,744

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Solution

The third proportional to 82,057,356 and 129,935,744 is: 205,749,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057,356 : 129,935,744 = 129,935,744 : x
  2. Step 2: Convert to fraction form
    82,057,356/129,935,744 = 129,935,744/x
  3. Step 3: Cross multiply
    82,057,356x = 129,935,744 × 129,935,744
  4. Step 4: Simplify right side
    82,057,356x = 16,883,297,568,833,536
  5. Step 5: Solve for x
    x = 16,883,297,568,833,536/82,057,356
  6. Step 6: Final answer
    x = 205,749,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.