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Finding the Third Proportional to 109,233 and 146,788.50

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Solution

The third proportional to 109,233 and 146,788.50 is: 197,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,233 : 146,788.50 = 146,788.50 : x
  2. Step 2: Convert to fraction form
    109,233/146,788.50 = 146,788.50/x
  3. Step 3: Cross multiply
    109,233x = 146,788.50 × 146,788.50
  4. Step 4: Simplify right side
    109,233x = 21,546,863,732.25
  5. Step 5: Solve for x
    x = 21,546,863,732.25/109,233
  6. Step 6: Final answer
    x = 197,255.99

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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.