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Finding the Third Proportional to 86,971 and 188,813

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Solution

The third proportional to 86,971 and 188,813 is: 409,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,971 : 188,813 = 188,813 : x
  2. Step 2: Convert to fraction form
    86,971/188,813 = 188,813/x
  3. Step 3: Cross multiply
    86,971x = 188,813 × 188,813
  4. Step 4: Simplify right side
    86,971x = 35,650,348,969
  5. Step 5: Solve for x
    x = 35,650,348,969/86,971
  6. Step 6: Final answer
    x = 409,910.76

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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.