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Finding the Third Proportional to 109,191 and 163,786.50

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Solution

The third proportional to 109,191 and 163,786.50 is: 245,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,191 : 163,786.50 = 163,786.50 : x
  2. Step 2: Convert to fraction form
    109,191/163,786.50 = 163,786.50/x
  3. Step 3: Cross multiply
    109,191x = 163,786.50 × 163,786.50
  4. Step 4: Simplify right side
    109,191x = 26,826,017,582.25
  5. Step 5: Solve for x
    x = 26,826,017,582.25/109,191
  6. Step 6: Final answer
    x = 245,679.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.