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Finding the Third Proportional to 97,116 and 200,974

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Solution

The third proportional to 97,116 and 200,974 is: 415,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116 : 200,974 = 200,974 : x
  2. Step 2: Convert to fraction form
    97,116/200,974 = 200,974/x
  3. Step 3: Cross multiply
    97,116x = 200,974 × 200,974
  4. Step 4: Simplify right side
    97,116x = 40,390,548,676
  5. Step 5: Solve for x
    x = 40,390,548,676/97,116
  6. Step 6: Final answer
    x = 415,900.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.