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Finding the Third Proportional to 107,193.94 and 211,677.19

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Solution

The third proportional to 107,193.94 and 211,677.19 is: 418,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,193.94 : 211,677.19 = 211,677.19 : x
  2. Step 2: Convert to fraction form
    107,193.94/211,677.19 = 211,677.19/x
  3. Step 3: Cross multiply
    107,193.94x = 211,677.19 × 211,677.19
  4. Step 4: Simplify right side
    107,193.94x = 44,807,231,707.91
  5. Step 5: Solve for x
    x = 44,807,231,707.91/107,193.94
  6. Step 6: Final answer
    x = 418,001.55

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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.