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Finding the Third Proportional to 102,737,208 and 150,419,970

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Solution

The third proportional to 102,737,208 and 150,419,970 is: 220,233,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,737,208 : 150,419,970 = 150,419,970 : x
  2. Step 2: Convert to fraction form
    102,737,208/150,419,970 = 150,419,970/x
  3. Step 3: Cross multiply
    102,737,208x = 150,419,970 × 150,419,970
  4. Step 4: Simplify right side
    102,737,208x = 22,626,167,374,800,900
  5. Step 5: Solve for x
    x = 22,626,167,374,800,900/102,737,208
  6. Step 6: Final answer
    x = 220,233,426.77

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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.