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Finding the Third Proportional to 83,929.50 and 171,737.25

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Solution

The third proportional to 83,929.50 and 171,737.25 is: 351,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,929.50 : 171,737.25 = 171,737.25 : x
  2. Step 2: Convert to fraction form
    83,929.50/171,737.25 = 171,737.25/x
  3. Step 3: Cross multiply
    83,929.50x = 171,737.25 × 171,737.25
  4. Step 4: Simplify right side
    83,929.50x = 29,493,683,037.56
  5. Step 5: Solve for x
    x = 29,493,683,037.56/83,929.50
  6. Step 6: Final answer
    x = 351,410.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.