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Finding the Third Proportional to 90,621 and 195,043.50

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Solution

The third proportional to 90,621 and 195,043.50 is: 419,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,621 : 195,043.50 = 195,043.50 : x
  2. Step 2: Convert to fraction form
    90,621/195,043.50 = 195,043.50/x
  3. Step 3: Cross multiply
    90,621x = 195,043.50 × 195,043.50
  4. Step 4: Simplify right side
    90,621x = 38,041,966,892.25
  5. Step 5: Solve for x
    x = 38,041,966,892.25/90,621
  6. Step 6: Final answer
    x = 419,791.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.