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Finding the Third Proportional to 64,029,942 and 140,202,108

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Solution

The third proportional to 64,029,942 and 140,202,108 is: 306,991,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029,942 : 140,202,108 = 140,202,108 : x
  2. Step 2: Convert to fraction form
    64,029,942/140,202,108 = 140,202,108/x
  3. Step 3: Cross multiply
    64,029,942x = 140,202,108 × 140,202,108
  4. Step 4: Simplify right side
    64,029,942x = 19,656,631,087,643,664
  5. Step 5: Solve for x
    x = 19,656,631,087,643,664/64,029,942
  6. Step 6: Final answer
    x = 306,991,236.81

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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.