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Finding the Third Proportional to 256,398,469.88 and 521,858,227.50

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Solution

The third proportional to 256,398,469.88 and 521,858,227.50 is: 1,062,159,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,398,469.88 : 521,858,227.50 = 521,858,227.50 : x
  2. Step 2: Convert to fraction form
    256,398,469.88/521,858,227.50 = 521,858,227.50/x
  3. Step 3: Cross multiply
    256,398,469.88x = 521,858,227.50 × 521,858,227.50
  4. Step 4: Simplify right side
    256,398,469.88x = 272,336,009,609,441,760
  5. Step 5: Solve for x
    x = 272,336,009,609,441,760/256,398,469.88
  6. Step 6: Final answer
    x = 1,062,159,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.