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Finding the Third Proportional to 46,980 and 100,971

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Solution

The third proportional to 46,980 and 100,971 is: 217,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980 : 100,971 = 100,971 : x
  2. Step 2: Convert to fraction form
    46,980/100,971 = 100,971/x
  3. Step 3: Cross multiply
    46,980x = 100,971 × 100,971
  4. Step 4: Simplify right side
    46,980x = 10,195,142,841
  5. Step 5: Solve for x
    x = 10,195,142,841/46,980
  6. Step 6: Final answer
    x = 217,010.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.