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Finding the Third Proportional to 222,465,568 and 325,734,416

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Solution

The third proportional to 222,465,568 and 325,734,416 is: 476,940,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,465,568 : 325,734,416 = 325,734,416 : x
  2. Step 2: Convert to fraction form
    222,465,568/325,734,416 = 325,734,416/x
  3. Step 3: Cross multiply
    222,465,568x = 325,734,416 × 325,734,416
  4. Step 4: Simplify right side
    222,465,568x = 106,102,909,766,861,056
  5. Step 5: Solve for x
    x = 106,102,909,766,861,056/222,465,568
  6. Step 6: Final answer
    x = 476,940,817.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.