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Finding the Third Proportional to 222,466,508 and 325,735,824

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Solution

The third proportional to 222,466,508 and 325,735,824 is: 476,942,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,466,508 : 325,735,824 = 325,735,824 : x
  2. Step 2: Convert to fraction form
    222,466,508/325,735,824 = 325,735,824/x
  3. Step 3: Cross multiply
    222,466,508x = 325,735,824 × 325,735,824
  4. Step 4: Simplify right side
    222,466,508x = 106,103,827,036,958,976
  5. Step 5: Solve for x
    x = 106,103,827,036,958,976/222,466,508
  6. Step 6: Final answer
    x = 476,942,924.99

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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.