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Finding the Third Proportional to 108,871.70 and 234,427.82

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Solution

The third proportional to 108,871.70 and 234,427.82 is: 504,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,871.70 : 234,427.82 = 234,427.82 : x
  2. Step 2: Convert to fraction form
    108,871.70/234,427.82 = 234,427.82/x
  3. Step 3: Cross multiply
    108,871.70x = 234,427.82 × 234,427.82
  4. Step 4: Simplify right side
    108,871.70x = 54,956,401,105.00
  5. Step 5: Solve for x
    x = 54,956,401,105.00/108,871.70
  6. Step 6: Final answer
    x = 504,781.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.