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Finding the Third Proportional to 90,885.38 and 186,296.63

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Solution

The third proportional to 90,885.38 and 186,296.63 is: 381,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,885.38 : 186,296.63 = 186,296.63 : x
  2. Step 2: Convert to fraction form
    90,885.38/186,296.63 = 186,296.63/x
  3. Step 3: Cross multiply
    90,885.38x = 186,296.63 × 186,296.63
  4. Step 4: Simplify right side
    90,885.38x = 34,706,432,486.39
  5. Step 5: Solve for x
    x = 34,706,432,486.39/90,885.38
  6. Step 6: Final answer
    x = 381,870.38

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Why These Related Problems?

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