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Finding the Third Proportional to 83,787.75 and 179,569.50

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Solution

The third proportional to 83,787.75 and 179,569.50 is: 384,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,787.75 : 179,569.50 = 179,569.50 : x
  2. Step 2: Convert to fraction form
    83,787.75/179,569.50 = 179,569.50/x
  3. Step 3: Cross multiply
    83,787.75x = 179,569.50 × 179,569.50
  4. Step 4: Simplify right side
    83,787.75x = 32,245,205,330.25
  5. Step 5: Solve for x
    x = 32,245,205,330.25/83,787.75
  6. Step 6: Final answer
    x = 384,843.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.