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Finding the Third Proportional to 102,737,085 and 150,419,802

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Solution

The third proportional to 102,737,085 and 150,419,802 is: 220,233,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,737,085 : 150,419,802 = 150,419,802 : x
  2. Step 2: Convert to fraction form
    102,737,085/150,419,802 = 150,419,802/x
  3. Step 3: Cross multiply
    102,737,085x = 150,419,802 × 150,419,802
  4. Step 4: Simplify right side
    102,737,085x = 22,626,116,833,719,204
  5. Step 5: Solve for x
    x = 22,626,116,833,719,204/102,737,085
  6. Step 6: Final answer
    x = 220,233,198.50

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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.