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Finding the Third Proportional to 46,938 and 101,838

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Solution

The third proportional to 46,938 and 101,838 is: 220,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,938 : 101,838 = 101,838 : x
  2. Step 2: Convert to fraction form
    46,938/101,838 = 101,838/x
  3. Step 3: Cross multiply
    46,938x = 101,838 × 101,838
  4. Step 4: Simplify right side
    46,938x = 10,370,978,244
  5. Step 5: Solve for x
    x = 10,370,978,244/46,938
  6. Step 6: Final answer
    x = 220,950.58

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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.