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Finding the Third Proportional to 91,178 and 196,932

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Solution

The third proportional to 91,178 and 196,932 is: 425,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,178 : 196,932 = 196,932 : x
  2. Step 2: Convert to fraction form
    91,178/196,932 = 196,932/x
  3. Step 3: Cross multiply
    91,178x = 196,932 × 196,932
  4. Step 4: Simplify right side
    91,178x = 38,782,212,624
  5. Step 5: Solve for x
    x = 38,782,212,624/91,178
  6. Step 6: Final answer
    x = 425,346.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.