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Finding the Third Proportional to 126,267,025.50 and 271,331,302.50

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Solution

The third proportional to 126,267,025.50 and 271,331,302.50 is: 583,055,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,267,025.50 : 271,331,302.50 = 271,331,302.50 : x
  2. Step 2: Convert to fraction form
    126,267,025.50/271,331,302.50 = 271,331,302.50/x
  3. Step 3: Cross multiply
    126,267,025.50x = 271,331,302.50 × 271,331,302.50
  4. Step 4: Simplify right side
    126,267,025.50x = 73,620,675,716,346,512
  5. Step 5: Solve for x
    x = 73,620,675,716,346,512/126,267,025.50
  6. Step 6: Final answer
    x = 583,055,436.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.