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Finding the Third Proportional to 107,233.88 and 211,776.19

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Solution

The third proportional to 107,233.88 and 211,776.19 is: 418,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233.88 : 211,776.19 = 211,776.19 : x
  2. Step 2: Convert to fraction form
    107,233.88/211,776.19 = 211,776.19/x
  3. Step 3: Cross multiply
    107,233.88x = 211,776.19 × 211,776.19
  4. Step 4: Simplify right side
    107,233.88x = 44,849,153,592.04
  5. Step 5: Solve for x
    x = 44,849,153,592.04/107,233.88
  6. Step 6: Final answer
    x = 418,236.81

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.