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Finding the Third Proportional to 109,613.25 and 236,145.38

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Solution

The third proportional to 109,613.25 and 236,145.38 is: 508,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,613.25 : 236,145.38 = 236,145.38 : x
  2. Step 2: Convert to fraction form
    109,613.25/236,145.38 = 236,145.38/x
  3. Step 3: Cross multiply
    109,613.25x = 236,145.38 × 236,145.38
  4. Step 4: Simplify right side
    109,613.25x = 55,764,638,133.89
  5. Step 5: Solve for x
    x = 55,764,638,133.89/109,613.25
  6. Step 6: Final answer
    x = 508,739.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.