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Finding the Third Proportional to 103,622 and 221,948

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Solution

The third proportional to 103,622 and 221,948 is: 475,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622 : 221,948 = 221,948 : x
  2. Step 2: Convert to fraction form
    103,622/221,948 = 221,948/x
  3. Step 3: Cross multiply
    103,622x = 221,948 × 221,948
  4. Step 4: Simplify right side
    103,622x = 49,260,914,704
  5. Step 5: Solve for x
    x = 49,260,914,704/103,622
  6. Step 6: Final answer
    x = 475,390.50

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Why These Related Problems?

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