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Finding the Third Proportional to 109,203 and 146,745.50

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Solution

The third proportional to 109,203 and 146,745.50 is: 197,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,203 : 146,745.50 = 146,745.50 : x
  2. Step 2: Convert to fraction form
    109,203/146,745.50 = 146,745.50/x
  3. Step 3: Cross multiply
    109,203x = 146,745.50 × 146,745.50
  4. Step 4: Simplify right side
    109,203x = 21,534,241,770.25
  5. Step 5: Solve for x
    x = 21,534,241,770.25/109,203
  6. Step 6: Final answer
    x = 197,194.60

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.