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Finding the Third Proportional to 86,042.25 and 184,536.56

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Solution

The third proportional to 86,042.25 and 184,536.56 is: 395,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042.25 : 184,536.56 = 184,536.56 : x
  2. Step 2: Convert to fraction form
    86,042.25/184,536.56 = 184,536.56/x
  3. Step 3: Cross multiply
    86,042.25x = 184,536.56 × 184,536.56
  4. Step 4: Simplify right side
    86,042.25x = 34,053,742,899.32
  5. Step 5: Solve for x
    x = 34,053,742,899.32/86,042.25
  6. Step 6: Final answer
    x = 395,779.32

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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.