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Finding the Third Proportional to 88,178 and 195,974

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Solution

The third proportional to 88,178 and 195,974 is: 435,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,178 : 195,974 = 195,974 : x
  2. Step 2: Convert to fraction form
    88,178/195,974 = 195,974/x
  3. Step 3: Cross multiply
    88,178x = 195,974 × 195,974
  4. Step 4: Simplify right side
    88,178x = 38,405,808,676
  5. Step 5: Solve for x
    x = 38,405,808,676/88,178
  6. Step 6: Final answer
    x = 435,548.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.