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Finding the Third Proportional to 79,666,382 and 171,439,670

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Solution

The third proportional to 79,666,382 and 171,439,670 is: 368,933,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,666,382 : 171,439,670 = 171,439,670 : x
  2. Step 2: Convert to fraction form
    79,666,382/171,439,670 = 171,439,670/x
  3. Step 3: Cross multiply
    79,666,382x = 171,439,670 × 171,439,670
  4. Step 4: Simplify right side
    79,666,382x = 29,391,560,449,708,900
  5. Step 5: Solve for x
    x = 29,391,560,449,708,900/79,666,382
  6. Step 6: Final answer
    x = 368,933,039.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.