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Finding the Third Proportional to 43,696 and 94,808

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Solution

The third proportional to 43,696 and 94,808 is: 205,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696 : 94,808 = 94,808 : x
  2. Step 2: Convert to fraction form
    43,696/94,808 = 94,808/x
  3. Step 3: Cross multiply
    43,696x = 94,808 × 94,808
  4. Step 4: Simplify right side
    43,696x = 8,988,556,864
  5. Step 5: Solve for x
    x = 8,988,556,864/43,696
  6. Step 6: Final answer
    x = 205,706.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.