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Finding the Third Proportional to 110,538.42 and 236,835.56

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Solution

The third proportional to 110,538.42 and 236,835.56 is: 507,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,538.42 : 236,835.56 = 236,835.56 : x
  2. Step 2: Convert to fraction form
    110,538.42/236,835.56 = 236,835.56/x
  3. Step 3: Cross multiply
    110,538.42x = 236,835.56 × 236,835.56
  4. Step 4: Simplify right side
    110,538.42x = 56,091,083,664.69
  5. Step 5: Solve for x
    x = 56,091,083,664.69/110,538.42
  6. Step 6: Final answer
    x = 507,435.18

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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.