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Finding the Third Proportional to 31,143,865.50 and 68,150,119.50

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Solution

The third proportional to 31,143,865.50 and 68,150,119.50 is: 149,128,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143,865.50 : 68,150,119.50 = 68,150,119.50 : x
  2. Step 2: Convert to fraction form
    31,143,865.50/68,150,119.50 = 68,150,119.50/x
  3. Step 3: Cross multiply
    31,143,865.50x = 68,150,119.50 × 68,150,119.50
  4. Step 4: Simplify right side
    31,143,865.50x = 4,644,438,787,864,280
  5. Step 5: Solve for x
    x = 4,644,438,787,864,280/31,143,865.50
  6. Step 6: Final answer
    x = 149,128,527.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.