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Finding the Third Proportional to 81,197,162 and 191,610,767

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Solution

The third proportional to 81,197,162 and 191,610,767 is: 452,167,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,162 : 191,610,767 = 191,610,767 : x
  2. Step 2: Convert to fraction form
    81,197,162/191,610,767 = 191,610,767/x
  3. Step 3: Cross multiply
    81,197,162x = 191,610,767 × 191,610,767
  4. Step 4: Simplify right side
    81,197,162x = 36,714,686,030,328,288
  5. Step 5: Solve for x
    x = 36,714,686,030,328,288/81,197,162
  6. Step 6: Final answer
    x = 452,167,109.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.