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Finding the Third Proportional to 46,991 and 101,318

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Solution

The third proportional to 46,991 and 101,318 is: 218,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,991 : 101,318 = 101,318 : x
  2. Step 2: Convert to fraction form
    46,991/101,318 = 101,318/x
  3. Step 3: Cross multiply
    46,991x = 101,318 × 101,318
  4. Step 4: Simplify right side
    46,991x = 10,265,337,124
  5. Step 5: Solve for x
    x = 10,265,337,124/46,991
  6. Step 6: Final answer
    x = 218,453.26

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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.