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Finding the Third Proportional to 81,197,170 and 191,610,779

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Solution

The third proportional to 81,197,170 and 191,610,779 is: 452,167,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,170 : 191,610,779 = 191,610,779 : x
  2. Step 2: Convert to fraction form
    81,197,170/191,610,779 = 191,610,779/x
  3. Step 3: Cross multiply
    81,197,170x = 191,610,779 × 191,610,779
  4. Step 4: Simplify right side
    81,197,170x = 36,714,690,628,986,840
  5. Step 5: Solve for x
    x = 36,714,690,628,986,840/81,197,170
  6. Step 6: Final answer
    x = 452,167,121.45

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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.