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Finding the Third Proportional to 205,208,601,257 and 441,300,391,366

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Solution

The third proportional to 205,208,601,257 and 441,300,391,366 is: 949,014,974,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208,601,257 : 441,300,391,366 = 441,300,391,366 : x
  2. Step 2: Convert to fraction form
    205,208,601,257/441,300,391,366 = 441,300,391,366/x
  3. Step 3: Cross multiply
    205,208,601,257x = 441,300,391,366 × 441,300,391,366
  4. Step 4: Simplify right side
    205,208,601,257x = 194,746,035,419,784,771,796,992
  5. Step 5: Solve for x
    x = 194,746,035,419,784,771,796,992/205,208,601,257
  6. Step 6: Final answer
    x = 949,014,974,162.26

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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.