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Finding the Third Proportional to 46,886 and 101,138

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Solution

The third proportional to 46,886 and 101,138 is: 218,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886 : 101,138 = 101,138 : x
  2. Step 2: Convert to fraction form
    46,886/101,138 = 101,138/x
  3. Step 3: Cross multiply
    46,886x = 101,138 × 101,138
  4. Step 4: Simplify right side
    46,886x = 10,228,895,044
  5. Step 5: Solve for x
    x = 10,228,895,044/46,886
  6. Step 6: Final answer
    x = 218,165.23

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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.