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Finding the Third Proportional to 107,110.27 and 166,050.84

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Solution

The third proportional to 107,110.27 and 166,050.84 is: 257,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,110.27 : 166,050.84 = 166,050.84 : x
  2. Step 2: Convert to fraction form
    107,110.27/166,050.84 = 166,050.84/x
  3. Step 3: Cross multiply
    107,110.27x = 166,050.84 × 166,050.84
  4. Step 4: Simplify right side
    107,110.27x = 27,572,882,710.09
  5. Step 5: Solve for x
    x = 27,572,882,710.09/107,110.27
  6. Step 6: Final answer
    x = 257,425.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.