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Finding the Third Proportional to 235,951,435.69 and 354,912,251.06

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Solution

The third proportional to 235,951,435.69 and 354,912,251.06 is: 533,850,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,951,435.69 : 354,912,251.06 = 354,912,251.06 : x
  2. Step 2: Convert to fraction form
    235,951,435.69/354,912,251.06 = 354,912,251.06/x
  3. Step 3: Cross multiply
    235,951,435.69x = 354,912,251.06 × 354,912,251.06
  4. Step 4: Simplify right side
    235,951,435.69x = 125,962,705,954,251,040
  5. Step 5: Solve for x
    x = 125,962,705,954,251,040/235,951,435.69
  6. Step 6: Final answer
    x = 533,850,135.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.