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Finding the Third Proportional to 135,693.84 and 199,593.84

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Solution

The third proportional to 135,693.84 and 199,593.84 is: 293,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,693.84 : 199,593.84 = 199,593.84 : x
  2. Step 2: Convert to fraction form
    135,693.84/199,593.84 = 199,593.84/x
  3. Step 3: Cross multiply
    135,693.84x = 199,593.84 × 199,593.84
  4. Step 4: Simplify right side
    135,693.84x = 39,837,702,462.90
  5. Step 5: Solve for x
    x = 39,837,702,462.90/135,693.84
  6. Step 6: Final answer
    x = 293,585.19

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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.