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Finding the Third Proportional to 109,976.50 and 221,658.50

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Solution

The third proportional to 109,976.50 and 221,658.50 is: 446,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,976.50 : 221,658.50 = 221,658.50 : x
  2. Step 2: Convert to fraction form
    109,976.50/221,658.50 = 221,658.50/x
  3. Step 3: Cross multiply
    109,976.50x = 221,658.50 × 221,658.50
  4. Step 4: Simplify right side
    109,976.50x = 49,132,490,622.25
  5. Step 5: Solve for x
    x = 49,132,490,622.25/109,976.50
  6. Step 6: Final answer
    x = 446,754.45

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.