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Finding the Third Proportional to 90,406.50 and 196,669.50

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Solution

The third proportional to 90,406.50 and 196,669.50 is: 427,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,406.50 : 196,669.50 = 196,669.50 : x
  2. Step 2: Convert to fraction form
    90,406.50/196,669.50 = 196,669.50/x
  3. Step 3: Cross multiply
    90,406.50x = 196,669.50 × 196,669.50
  4. Step 4: Simplify right side
    90,406.50x = 38,678,892,230.25
  5. Step 5: Solve for x
    x = 38,678,892,230.25/90,406.50
  6. Step 6: Final answer
    x = 427,833.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.