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Finding the Third Proportional to 105,549.75 and 231,612.75

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Solution

The third proportional to 105,549.75 and 231,612.75 is: 508,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,549.75 : 231,612.75 = 231,612.75 : x
  2. Step 2: Convert to fraction form
    105,549.75/231,612.75 = 231,612.75/x
  3. Step 3: Cross multiply
    105,549.75x = 231,612.75 × 231,612.75
  4. Step 4: Simplify right side
    105,549.75x = 53,644,465,962.56
  5. Step 5: Solve for x
    x = 53,644,465,962.56/105,549.75
  6. Step 6: Final answer
    x = 508,238.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.