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Finding the Third Proportional to 118,919 and 163,069.50

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Solution

The third proportional to 118,919 and 163,069.50 is: 223,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,919 : 163,069.50 = 163,069.50 : x
  2. Step 2: Convert to fraction form
    118,919/163,069.50 = 163,069.50/x
  3. Step 3: Cross multiply
    118,919x = 163,069.50 × 163,069.50
  4. Step 4: Simplify right side
    118,919x = 26,591,661,830.25
  5. Step 5: Solve for x
    x = 26,591,661,830.25/118,919
  6. Step 6: Final answer
    x = 223,611.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.