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Finding the Third Proportional to 70,527,901.50 and 149,589,504

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Solution

The third proportional to 70,527,901.50 and 149,589,504 is: 317,278,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,527,901.50 : 149,589,504 = 149,589,504 : x
  2. Step 2: Convert to fraction form
    70,527,901.50/149,589,504 = 149,589,504/x
  3. Step 3: Cross multiply
    70,527,901.50x = 149,589,504 × 149,589,504
  4. Step 4: Simplify right side
    70,527,901.50x = 22,377,019,706,966,016
  5. Step 5: Solve for x
    x = 22,377,019,706,966,016/70,527,901.50
  6. Step 6: Final answer
    x = 317,278,966.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.