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Finding the Third Proportional to 135,805.50 and 199,548

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Solution

The third proportional to 135,805.50 and 199,548 is: 293,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,805.50 : 199,548 = 199,548 : x
  2. Step 2: Convert to fraction form
    135,805.50/199,548 = 199,548/x
  3. Step 3: Cross multiply
    135,805.50x = 199,548 × 199,548
  4. Step 4: Simplify right side
    135,805.50x = 39,819,404,304
  5. Step 5: Solve for x
    x = 39,819,404,304/135,805.50
  6. Step 6: Final answer
    x = 293,209.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.