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Finding the Third Proportional to 234,635,838.75 and 354,973,093.88

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Solution

The third proportional to 234,635,838.75 and 354,973,093.88 is: 537,027,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,635,838.75 : 354,973,093.88 = 354,973,093.88 : x
  2. Step 2: Convert to fraction form
    234,635,838.75/354,973,093.88 = 354,973,093.88/x
  3. Step 3: Cross multiply
    234,635,838.75x = 354,973,093.88 × 354,973,093.88
  4. Step 4: Simplify right side
    234,635,838.75x = 126,005,897,375,189,568
  5. Step 5: Solve for x
    x = 126,005,897,375,189,568/234,635,838.75
  6. Step 6: Final answer
    x = 537,027,497.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.