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Finding the Third Proportional to 87,524,910 and 190,461,852

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Solution

The third proportional to 87,524,910 and 190,461,852 is: 414,461,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524,910 : 190,461,852 = 190,461,852 : x
  2. Step 2: Convert to fraction form
    87,524,910/190,461,852 = 190,461,852/x
  3. Step 3: Cross multiply
    87,524,910x = 190,461,852 × 190,461,852
  4. Step 4: Simplify right side
    87,524,910x = 36,275,717,067,269,904
  5. Step 5: Solve for x
    x = 36,275,717,067,269,904/87,524,910
  6. Step 6: Final answer
    x = 414,461,632.32

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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.