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Finding the Third Proportional to 46,034 and 100,816

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Solution

The third proportional to 46,034 and 100,816 is: 220,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,034 : 100,816 = 100,816 : x
  2. Step 2: Convert to fraction form
    46,034/100,816 = 100,816/x
  3. Step 3: Cross multiply
    46,034x = 100,816 × 100,816
  4. Step 4: Simplify right side
    46,034x = 10,163,865,856
  5. Step 5: Solve for x
    x = 10,163,865,856/46,034
  6. Step 6: Final answer
    x = 220,790.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.