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Finding the Third Proportional to 65,846,198 and 144,727,664

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Solution

The third proportional to 65,846,198 and 144,727,664 is: 318,106,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846,198 : 144,727,664 = 144,727,664 : x
  2. Step 2: Convert to fraction form
    65,846,198/144,727,664 = 144,727,664/x
  3. Step 3: Cross multiply
    65,846,198x = 144,727,664 × 144,727,664
  4. Step 4: Simplify right side
    65,846,198x = 20,946,096,726,896,896
  5. Step 5: Solve for x
    x = 20,946,096,726,896,896/65,846,198
  6. Step 6: Final answer
    x = 318,106,395.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.