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Finding the Third Proportional to 38,299.08 and 84,156.47

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Solution

The third proportional to 38,299.08 and 84,156.47 is: 184,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,299.08 : 84,156.47 = 84,156.47 : x
  2. Step 2: Convert to fraction form
    38,299.08/84,156.47 = 84,156.47/x
  3. Step 3: Cross multiply
    38,299.08x = 84,156.47 × 84,156.47
  4. Step 4: Simplify right side
    38,299.08x = 7,082,311,232.47
  5. Step 5: Solve for x
    x = 7,082,311,232.47/38,299.08
  6. Step 6: Final answer
    x = 184,921.19

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