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Finding the Third Proportional to 31,832,797.50 and 68,203,604.81

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Solution

The third proportional to 31,832,797.50 and 68,203,604.81 is: 146,130,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,797.50 : 68,203,604.81 = 68,203,604.81 : x
  2. Step 2: Convert to fraction form
    31,832,797.50/68,203,604.81 = 68,203,604.81/x
  3. Step 3: Cross multiply
    31,832,797.50x = 68,203,604.81 × 68,203,604.81
  4. Step 4: Simplify right side
    31,832,797.50x = 4,651,731,709,419,673
  5. Step 5: Solve for x
    x = 4,651,731,709,419,673/31,832,797.50
  6. Step 6: Final answer
    x = 146,130,157.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.