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Finding the Third Proportional to 81,197,544.38 and 189,467,481

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Solution

The third proportional to 81,197,544.38 and 189,467,481 is: 442,106,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,544.38 : 189,467,481 = 189,467,481 : x
  2. Step 2: Convert to fraction form
    81,197,544.38/189,467,481 = 189,467,481/x
  3. Step 3: Cross multiply
    81,197,544.38x = 189,467,481 × 189,467,481
  4. Step 4: Simplify right side
    81,197,544.38x = 35,897,926,356,485,360
  5. Step 5: Solve for x
    x = 35,897,926,356,485,360/81,197,544.38
  6. Step 6: Final answer
    x = 442,106,059.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.