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Finding the Third Proportional to 98,086.50 and 147,851

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Solution

The third proportional to 98,086.50 and 147,851 is: 222,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,086.50 : 147,851 = 147,851 : x
  2. Step 2: Convert to fraction form
    98,086.50/147,851 = 147,851/x
  3. Step 3: Cross multiply
    98,086.50x = 147,851 × 147,851
  4. Step 4: Simplify right side
    98,086.50x = 21,859,918,201
  5. Step 5: Solve for x
    x = 21,859,918,201/98,086.50
  6. Step 6: Final answer
    x = 222,863.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.