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Finding the Third Proportional to 88,071.75 and 193,990.50

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Solution

The third proportional to 88,071.75 and 193,990.50 is: 427,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,071.75 : 193,990.50 = 193,990.50 : x
  2. Step 2: Convert to fraction form
    88,071.75/193,990.50 = 193,990.50/x
  3. Step 3: Cross multiply
    88,071.75x = 193,990.50 × 193,990.50
  4. Step 4: Simplify right side
    88,071.75x = 37,632,314,090.25
  5. Step 5: Solve for x
    x = 37,632,314,090.25/88,071.75
  6. Step 6: Final answer
    x = 427,291.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.