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Finding the Third Proportional to 90,466.50 and 192,955.88

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Solution

The third proportional to 90,466.50 and 192,955.88 is: 411,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,466.50 : 192,955.88 = 192,955.88 : x
  2. Step 2: Convert to fraction form
    90,466.50/192,955.88 = 192,955.88/x
  3. Step 3: Cross multiply
    90,466.50x = 192,955.88 × 192,955.88
  4. Step 4: Simplify right side
    90,466.50x = 37,231,969,697.02
  5. Step 5: Solve for x
    x = 37,231,969,697.02/90,466.50
  6. Step 6: Final answer
    x = 411,555.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.