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Finding the Third Proportional to 108,181.50 and 236,046

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Solution

The third proportional to 108,181.50 and 236,046 is: 515,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,181.50 : 236,046 = 236,046 : x
  2. Step 2: Convert to fraction form
    108,181.50/236,046 = 236,046/x
  3. Step 3: Cross multiply
    108,181.50x = 236,046 × 236,046
  4. Step 4: Simplify right side
    108,181.50x = 55,717,714,116
  5. Step 5: Solve for x
    x = 55,717,714,116/108,181.50
  6. Step 6: Final answer
    x = 515,039.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.