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Finding the Third Proportional to 38,880.75 and 91,045.88

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Solution

The third proportional to 38,880.75 and 91,045.88 is: 213,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880.75 : 91,045.88 = 91,045.88 : x
  2. Step 2: Convert to fraction form
    38,880.75/91,045.88 = 91,045.88/x
  3. Step 3: Cross multiply
    38,880.75x = 91,045.88 × 91,045.88
  4. Step 4: Simplify right side
    38,880.75x = 8,289,351,354.52
  5. Step 5: Solve for x
    x = 8,289,351,354.52/38,880.75
  6. Step 6: Final answer
    x = 213,199.37

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.