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Finding the Third Proportional to 90,710 and 196,954

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Solution

The third proportional to 90,710 and 196,954 is: 427,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,710 : 196,954 = 196,954 : x
  2. Step 2: Convert to fraction form
    90,710/196,954 = 196,954/x
  3. Step 3: Cross multiply
    90,710x = 196,954 × 196,954
  4. Step 4: Simplify right side
    90,710x = 38,790,878,116
  5. Step 5: Solve for x
    x = 38,790,878,116/90,710
  6. Step 6: Final answer
    x = 427,636.18

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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.