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Finding the Third Proportional to 84,729,260 and 182,895,448

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Solution

The third proportional to 84,729,260 and 182,895,448 is: 394,795,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729,260 : 182,895,448 = 182,895,448 : x
  2. Step 2: Convert to fraction form
    84,729,260/182,895,448 = 182,895,448/x
  3. Step 3: Cross multiply
    84,729,260x = 182,895,448 × 182,895,448
  4. Step 4: Simplify right side
    84,729,260x = 33,450,744,899,120,704
  5. Step 5: Solve for x
    x = 33,450,744,899,120,704/84,729,260
  6. Step 6: Final answer
    x = 394,795,669.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.