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Finding the Third Proportional to 103,628 and 221,958

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Solution

The third proportional to 103,628 and 221,958 is: 475,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 221,958 = 221,958 : x
  2. Step 2: Convert to fraction form
    103,628/221,958 = 221,958/x
  3. Step 3: Cross multiply
    103,628x = 221,958 × 221,958
  4. Step 4: Simplify right side
    103,628x = 49,265,353,764
  5. Step 5: Solve for x
    x = 49,265,353,764/103,628
  6. Step 6: Final answer
    x = 475,405.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.