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Finding the Third Proportional to 119,909.25 and 199,840.50

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Solution

The third proportional to 119,909.25 and 199,840.50 is: 333,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,909.25 : 199,840.50 = 199,840.50 : x
  2. Step 2: Convert to fraction form
    119,909.25/199,840.50 = 199,840.50/x
  3. Step 3: Cross multiply
    119,909.25x = 199,840.50 × 199,840.50
  4. Step 4: Simplify right side
    119,909.25x = 39,936,225,440.25
  5. Step 5: Solve for x
    x = 39,936,225,440.25/119,909.25
  6. Step 6: Final answer
    x = 333,053.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.