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Finding the Third Proportional to 85,419.56 and 183,981.38

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Solution

The third proportional to 85,419.56 and 183,981.38 is: 396,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419.56 : 183,981.38 = 183,981.38 : x
  2. Step 2: Convert to fraction form
    85,419.56/183,981.38 = 183,981.38/x
  3. Step 3: Cross multiply
    85,419.56x = 183,981.38 × 183,981.38
  4. Step 4: Simplify right side
    85,419.56x = 33,849,146,346.89
  5. Step 5: Solve for x
    x = 33,849,146,346.89/85,419.56
  6. Step 6: Final answer
    x = 396,269.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.