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Finding the Third Proportional to 40,345.59 and 86,181.47

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Solution

The third proportional to 40,345.59 and 86,181.47 is: 184,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345.59 : 86,181.47 = 86,181.47 : x
  2. Step 2: Convert to fraction form
    40,345.59/86,181.47 = 86,181.47/x
  3. Step 3: Cross multiply
    40,345.59x = 86,181.47 × 86,181.47
  4. Step 4: Simplify right side
    40,345.59x = 7,427,245,555.91
  5. Step 5: Solve for x
    x = 7,427,245,555.91/40,345.59
  6. Step 6: Final answer
    x = 184,090.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.