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Finding the Third Proportional to 222,335,750.81 and 482,945,801.34

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Solution

The third proportional to 222,335,750.81 and 482,945,801.34 is: 1,049,028,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,335,750.81 : 482,945,801.34 = 482,945,801.34 : x
  2. Step 2: Convert to fraction form
    222,335,750.81/482,945,801.34 = 482,945,801.34/x
  3. Step 3: Cross multiply
    222,335,750.81x = 482,945,801.34 × 482,945,801.34
  4. Step 4: Simplify right side
    222,335,750.81x = 233,236,647,035,556,832
  5. Step 5: Solve for x
    x = 233,236,647,035,556,832/222,335,750.81
  6. Step 6: Final answer
    x = 1,049,028,985.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.