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Finding the Third Proportional to 214,976,656 and 324,246,662

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Solution

The third proportional to 214,976,656 and 324,246,662 is: 489,057,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,976,656 : 324,246,662 = 324,246,662 : x
  2. Step 2: Convert to fraction form
    214,976,656/324,246,662 = 324,246,662/x
  3. Step 3: Cross multiply
    214,976,656x = 324,246,662 × 324,246,662
  4. Step 4: Simplify right side
    214,976,656x = 105,135,897,818,142,240
  5. Step 5: Solve for x
    x = 105,135,897,818,142,240/214,976,656
  6. Step 6: Final answer
    x = 489,057,276.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.