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Finding the Third Proportional to 164,278,760 and 245,906,382

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Solution

The third proportional to 164,278,760 and 245,906,382 is: 368,093,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,278,760 : 245,906,382 = 245,906,382 : x
  2. Step 2: Convert to fraction form
    164,278,760/245,906,382 = 245,906,382/x
  3. Step 3: Cross multiply
    164,278,760x = 245,906,382 × 245,906,382
  4. Step 4: Simplify right side
    164,278,760x = 60,469,948,708,329,920
  5. Step 5: Solve for x
    x = 60,469,948,708,329,920/164,278,760
  6. Step 6: Final answer
    x = 368,093,530.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.