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Finding the Third Proportional to 128,101.50 and 204,644.25

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Solution

The third proportional to 128,101.50 and 204,644.25 is: 326,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,101.50 : 204,644.25 = 204,644.25 : x
  2. Step 2: Convert to fraction form
    128,101.50/204,644.25 = 204,644.25/x
  3. Step 3: Cross multiply
    128,101.50x = 204,644.25 × 204,644.25
  4. Step 4: Simplify right side
    128,101.50x = 41,879,269,058.06
  5. Step 5: Solve for x
    x = 41,879,269,058.06/128,101.50
  6. Step 6: Final answer
    x = 326,922.55

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.