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Finding the Third Proportional to 90,884.25 and 186,176.25

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Solution

The third proportional to 90,884.25 and 186,176.25 is: 381,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,884.25 : 186,176.25 = 186,176.25 : x
  2. Step 2: Convert to fraction form
    90,884.25/186,176.25 = 186,176.25/x
  3. Step 3: Cross multiply
    90,884.25x = 186,176.25 × 186,176.25
  4. Step 4: Simplify right side
    90,884.25x = 34,661,596,064.06
  5. Step 5: Solve for x
    x = 34,661,596,064.06/90,884.25
  6. Step 6: Final answer
    x = 381,381.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.