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Finding the Third Proportional to 90,880.50 and 186,291

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Solution

The third proportional to 90,880.50 and 186,291 is: 381,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,880.50 : 186,291 = 186,291 : x
  2. Step 2: Convert to fraction form
    90,880.50/186,291 = 186,291/x
  3. Step 3: Cross multiply
    90,880.50x = 186,291 × 186,291
  4. Step 4: Simplify right side
    90,880.50x = 34,704,336,681
  5. Step 5: Solve for x
    x = 34,704,336,681/90,880.50
  6. Step 6: Final answer
    x = 381,867.80

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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.