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Finding the Third Proportional to 104,097 and 223,984.50

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Solution

The third proportional to 104,097 and 223,984.50 is: 481,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097 : 223,984.50 = 223,984.50 : x
  2. Step 2: Convert to fraction form
    104,097/223,984.50 = 223,984.50/x
  3. Step 3: Cross multiply
    104,097x = 223,984.50 × 223,984.50
  4. Step 4: Simplify right side
    104,097x = 50,169,056,240.25
  5. Step 5: Solve for x
    x = 50,169,056,240.25/104,097
  6. Step 6: Final answer
    x = 481,945.26

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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.