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Finding the Third Proportional to 46,538 and 100,948

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Solution

The third proportional to 46,538 and 100,948 is: 218,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,538 : 100,948 = 100,948 : x
  2. Step 2: Convert to fraction form
    46,538/100,948 = 100,948/x
  3. Step 3: Cross multiply
    46,538x = 100,948 × 100,948
  4. Step 4: Simplify right side
    46,538x = 10,190,498,704
  5. Step 5: Solve for x
    x = 10,190,498,704/46,538
  6. Step 6: Final answer
    x = 218,971.57

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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.