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Finding the Third Proportional to 51,196.50 and 104,944.50

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Solution

The third proportional to 51,196.50 and 104,944.50 is: 215,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196.50 : 104,944.50 = 104,944.50 : x
  2. Step 2: Convert to fraction form
    51,196.50/104,944.50 = 104,944.50/x
  3. Step 3: Cross multiply
    51,196.50x = 104,944.50 × 104,944.50
  4. Step 4: Simplify right side
    51,196.50x = 11,013,348,080.25
  5. Step 5: Solve for x
    x = 11,013,348,080.25/51,196.50
  6. Step 6: Final answer
    x = 215,119.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.