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Finding the Third Proportional to 97,880.91 and 213,738.75

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Solution

The third proportional to 97,880.91 and 213,738.75 is: 466,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.91 : 213,738.75 = 213,738.75 : x
  2. Step 2: Convert to fraction form
    97,880.91/213,738.75 = 213,738.75/x
  3. Step 3: Cross multiply
    97,880.91x = 213,738.75 × 213,738.75
  4. Step 4: Simplify right side
    97,880.91x = 45,684,253,251.56
  5. Step 5: Solve for x
    x = 45,684,253,251.56/97,880.91
  6. Step 6: Final answer
    x = 466,733.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.