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Finding the Third Proportional to 222,403,784 and 463,215,751

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Solution

The third proportional to 222,403,784 and 463,215,751 is: 964,771,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403,784 : 463,215,751 = 463,215,751 : x
  2. Step 2: Convert to fraction form
    222,403,784/463,215,751 = 463,215,751/x
  3. Step 3: Cross multiply
    222,403,784x = 463,215,751 × 463,215,751
  4. Step 4: Simplify right side
    222,403,784x = 214,568,831,974,494,016
  5. Step 5: Solve for x
    x = 214,568,831,974,494,016/222,403,784
  6. Step 6: Final answer
    x = 964,771,498.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.