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Finding the Third Proportional to 83,670.75 and 183,872.25

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Solution

The third proportional to 83,670.75 and 183,872.25 is: 404,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670.75 : 183,872.25 = 183,872.25 : x
  2. Step 2: Convert to fraction form
    83,670.75/183,872.25 = 183,872.25/x
  3. Step 3: Cross multiply
    83,670.75x = 183,872.25 × 183,872.25
  4. Step 4: Simplify right side
    83,670.75x = 33,809,004,320.06
  5. Step 5: Solve for x
    x = 33,809,004,320.06/83,670.75
  6. Step 6: Final answer
    x = 404,071.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.