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Finding the Third Proportional to 222,888,964 and 337,704,198

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Solution

The third proportional to 222,888,964 and 337,704,198 is: 511,663,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,888,964 : 337,704,198 = 337,704,198 : x
  2. Step 2: Convert to fraction form
    222,888,964/337,704,198 = 337,704,198/x
  3. Step 3: Cross multiply
    222,888,964x = 337,704,198 × 337,704,198
  4. Step 4: Simplify right side
    222,888,964x = 114,044,125,346,823,200
  5. Step 5: Solve for x
    x = 114,044,125,346,823,200/222,888,964
  6. Step 6: Final answer
    x = 511,663,400.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.