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Finding the Third Proportional to 50,809 and 116,858.50

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Solution

The third proportional to 50,809 and 116,858.50 is: 268,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,809 : 116,858.50 = 116,858.50 : x
  2. Step 2: Convert to fraction form
    50,809/116,858.50 = 116,858.50/x
  3. Step 3: Cross multiply
    50,809x = 116,858.50 × 116,858.50
  4. Step 4: Simplify right side
    50,809x = 13,655,909,022.25
  5. Step 5: Solve for x
    x = 13,655,909,022.25/50,809
  6. Step 6: Final answer
    x = 268,769.49

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.