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Finding the Third Proportional to 89,479.69 and 192,969.84

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Solution

The third proportional to 89,479.69 and 192,969.84 is: 416,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,479.69 : 192,969.84 = 192,969.84 : x
  2. Step 2: Convert to fraction form
    89,479.69/192,969.84 = 192,969.84/x
  3. Step 3: Cross multiply
    89,479.69x = 192,969.84 × 192,969.84
  4. Step 4: Simplify right side
    89,479.69x = 37,237,360,596.90
  5. Step 5: Solve for x
    x = 37,237,360,596.90/89,479.69
  6. Step 6: Final answer
    x = 416,154.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.