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Finding the Third Proportional to 86,281.31 and 184,557.38

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Solution

The third proportional to 86,281.31 and 184,557.38 is: 394,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,281.31 : 184,557.38 = 184,557.38 : x
  2. Step 2: Convert to fraction form
    86,281.31/184,557.38 = 184,557.38/x
  3. Step 3: Cross multiply
    86,281.31x = 184,557.38 × 184,557.38
  4. Step 4: Simplify right side
    86,281.31x = 34,061,424,666.89
  5. Step 5: Solve for x
    x = 34,061,424,666.89/86,281.31
  6. Step 6: Final answer
    x = 394,771.75

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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.