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Finding the Third Proportional to 45,497.72 and 94,628.33

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Solution

The third proportional to 45,497.72 and 94,628.33 is: 196,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,497.72 : 94,628.33 = 94,628.33 : x
  2. Step 2: Convert to fraction form
    45,497.72/94,628.33 = 94,628.33/x
  3. Step 3: Cross multiply
    45,497.72x = 94,628.33 × 94,628.33
  4. Step 4: Simplify right side
    45,497.72x = 8,954,520,668.55
  5. Step 5: Solve for x
    x = 8,954,520,668.55/45,497.72
  6. Step 6: Final answer
    x = 196,812.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.