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Finding the Third Proportional to 87,524,874 and 190,461,780

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Solution

The third proportional to 87,524,874 and 190,461,780 is: 414,461,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524,874 : 190,461,780 = 190,461,780 : x
  2. Step 2: Convert to fraction form
    87,524,874/190,461,780 = 190,461,780/x
  3. Step 3: Cross multiply
    87,524,874x = 190,461,780 × 190,461,780
  4. Step 4: Simplify right side
    87,524,874x = 36,275,689,640,768,400
  5. Step 5: Solve for x
    x = 36,275,689,640,768,400/87,524,874
  6. Step 6: Final answer
    x = 414,461,489.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.