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Finding the Third Proportional to 90,496.50 and 198,840

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Solution

The third proportional to 90,496.50 and 198,840 is: 436,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,496.50 : 198,840 = 198,840 : x
  2. Step 2: Convert to fraction form
    90,496.50/198,840 = 198,840/x
  3. Step 3: Cross multiply
    90,496.50x = 198,840 × 198,840
  4. Step 4: Simplify right side
    90,496.50x = 39,537,345,600
  5. Step 5: Solve for x
    x = 39,537,345,600/90,496.50
  6. Step 6: Final answer
    x = 436,893.64

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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.