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Finding the Third Proportional to 104,228,361 and 225,613,458

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Solution

The third proportional to 104,228,361 and 225,613,458 is: 488,364,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,228,361 : 225,613,458 = 225,613,458 : x
  2. Step 2: Convert to fraction form
    104,228,361/225,613,458 = 225,613,458/x
  3. Step 3: Cross multiply
    104,228,361x = 225,613,458 × 225,613,458
  4. Step 4: Simplify right side
    104,228,361x = 50,901,432,430,717,760
  5. Step 5: Solve for x
    x = 50,901,432,430,717,760/104,228,361
  6. Step 6: Final answer
    x = 488,364,509.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.