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Finding the Third Proportional to 259,859,895.75 and 541,215,472.50

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Solution

The third proportional to 259,859,895.75 and 541,215,472.50 is: 1,127,200,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859,895.75 : 541,215,472.50 = 541,215,472.50 : x
  2. Step 2: Convert to fraction form
    259,859,895.75/541,215,472.50 = 541,215,472.50/x
  3. Step 3: Cross multiply
    259,859,895.75x = 541,215,472.50 × 541,215,472.50
  4. Step 4: Simplify right side
    259,859,895.75x = 292,914,187,673,398,272
  5. Step 5: Solve for x
    x = 292,914,187,673,398,272/259,859,895.75
  6. Step 6: Final answer
    x = 1,127,200,435.56

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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.