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Finding the Third Proportional to 222,888,966 and 337,704,201

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Solution

The third proportional to 222,888,966 and 337,704,201 is: 511,663,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,888,966 : 337,704,201 = 337,704,201 : x
  2. Step 2: Convert to fraction form
    222,888,966/337,704,201 = 337,704,201/x
  3. Step 3: Cross multiply
    222,888,966x = 337,704,201 × 337,704,201
  4. Step 4: Simplify right side
    222,888,966x = 114,044,127,373,048,400
  5. Step 5: Solve for x
    x = 114,044,127,373,048,400/222,888,966
  6. Step 6: Final answer
    x = 511,663,405.42

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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.