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Finding the Third Proportional to 102,737,151 and 150,419,889

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Solution

The third proportional to 102,737,151 and 150,419,889 is: 220,233,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,737,151 : 150,419,889 = 150,419,889 : x
  2. Step 2: Convert to fraction form
    102,737,151/150,419,889 = 150,419,889/x
  3. Step 3: Cross multiply
    102,737,151x = 150,419,889 × 150,419,889
  4. Step 4: Simplify right side
    102,737,151x = 22,626,143,006,772,320
  5. Step 5: Solve for x
    x = 22,626,143,006,772,320/102,737,151
  6. Step 6: Final answer
    x = 220,233,311.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.