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Finding the Third Proportional to 135,435.80 and 210,000.09

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Solution

The third proportional to 135,435.80 and 210,000.09 is: 325,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,435.80 : 210,000.09 = 210,000.09 : x
  2. Step 2: Convert to fraction form
    135,435.80/210,000.09 = 210,000.09/x
  3. Step 3: Cross multiply
    135,435.80x = 210,000.09 × 210,000.09
  4. Step 4: Simplify right side
    135,435.80x = 44,100,039,375.01
  5. Step 5: Solve for x
    x = 44,100,039,375.01/135,435.80
  6. Step 6: Final answer
    x = 325,615.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.