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Finding the Third Proportional to 129,196.69 and 188,692.03

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Solution

The third proportional to 129,196.69 and 188,692.03 is: 275,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,196.69 : 188,692.03 = 188,692.03 : x
  2. Step 2: Convert to fraction form
    129,196.69/188,692.03 = 188,692.03/x
  3. Step 3: Cross multiply
    129,196.69x = 188,692.03 × 188,692.03
  4. Step 4: Simplify right side
    129,196.69x = 35,604,682,657.25
  5. Step 5: Solve for x
    x = 35,604,682,657.25/129,196.69
  6. Step 6: Final answer
    x = 275,585.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.