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Finding the Third Proportional to 81,197,204 and 191,610,869

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Solution

The third proportional to 81,197,204 and 191,610,869 is: 452,167,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,204 : 191,610,869 = 191,610,869 : x
  2. Step 2: Convert to fraction form
    81,197,204/191,610,869 = 191,610,869/x
  3. Step 3: Cross multiply
    81,197,204x = 191,610,869 × 191,610,869
  4. Step 4: Simplify right side
    81,197,204x = 36,714,725,118,935,160
  5. Step 5: Solve for x
    x = 36,714,725,118,935,160/81,197,204
  6. Step 6: Final answer
    x = 452,167,356.88

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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.