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Finding the Third Proportional to 102,215,286 and 222,928,932

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Solution

The third proportional to 102,215,286 and 222,928,932 is: 486,202,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215,286 : 222,928,932 = 222,928,932 : x
  2. Step 2: Convert to fraction form
    102,215,286/222,928,932 = 222,928,932/x
  3. Step 3: Cross multiply
    102,215,286x = 222,928,932 × 222,928,932
  4. Step 4: Simplify right side
    102,215,286x = 49,697,308,722,660,624
  5. Step 5: Solve for x
    x = 49,697,308,722,660,624/102,215,286
  6. Step 6: Final answer
    x = 486,202,315.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.