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Finding the Third Proportional to 84,996 and 198,517.50

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Solution

The third proportional to 84,996 and 198,517.50 is: 463,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,996 : 198,517.50 = 198,517.50 : x
  2. Step 2: Convert to fraction form
    84,996/198,517.50 = 198,517.50/x
  3. Step 3: Cross multiply
    84,996x = 198,517.50 × 198,517.50
  4. Step 4: Simplify right side
    84,996x = 39,409,197,806.25
  5. Step 5: Solve for x
    x = 39,409,197,806.25/84,996
  6. Step 6: Final answer
    x = 463,659.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.