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Finding the Third Proportional to 46,990 and 101,368

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Solution

The third proportional to 46,990 and 101,368 is: 218,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990 : 101,368 = 101,368 : x
  2. Step 2: Convert to fraction form
    46,990/101,368 = 101,368/x
  3. Step 3: Cross multiply
    46,990x = 101,368 × 101,368
  4. Step 4: Simplify right side
    46,990x = 10,275,471,424
  5. Step 5: Solve for x
    x = 10,275,471,424/46,990
  6. Step 6: Final answer
    x = 218,673.58

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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.