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Finding the Third Proportional to 81,197,136 and 191,610,702

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Solution

The third proportional to 81,197,136 and 191,610,702 is: 452,166,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,136 : 191,610,702 = 191,610,702 : x
  2. Step 2: Convert to fraction form
    81,197,136/191,610,702 = 191,610,702/x
  3. Step 3: Cross multiply
    81,197,136x = 191,610,702 × 191,610,702
  4. Step 4: Simplify right side
    81,197,136x = 36,714,661,120,932,800
  5. Step 5: Solve for x
    x = 36,714,661,120,932,800/81,197,136
  6. Step 6: Final answer
    x = 452,166,947.38

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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.