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Finding the Third Proportional to 214,976,636 and 324,246,630

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Solution

The third proportional to 214,976,636 and 324,246,630 is: 489,057,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,976,636 : 324,246,630 = 324,246,630 : x
  2. Step 2: Convert to fraction form
    214,976,636/324,246,630 = 324,246,630/x
  3. Step 3: Cross multiply
    214,976,636x = 324,246,630 × 324,246,630
  4. Step 4: Simplify right side
    214,976,636x = 105,135,877,066,356,896
  5. Step 5: Solve for x
    x = 105,135,877,066,356,896/214,976,636
  6. Step 6: Final answer
    x = 489,057,225.11

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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.