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Finding the Third Proportional to 40,453.59 and 86,096.25

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Solution

The third proportional to 40,453.59 and 86,096.25 is: 183,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,453.59 : 86,096.25 = 86,096.25 : x
  2. Step 2: Convert to fraction form
    40,453.59/86,096.25 = 86,096.25/x
  3. Step 3: Cross multiply
    40,453.59x = 86,096.25 × 86,096.25
  4. Step 4: Simplify right side
    40,453.59x = 7,412,564,264.06
  5. Step 5: Solve for x
    x = 7,412,564,264.06/40,453.59
  6. Step 6: Final answer
    x = 183,236.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.