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Finding the Third Proportional to 106,324 and 220,119

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Solution

The third proportional to 106,324 and 220,119 is: 455,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324 : 220,119 = 220,119 : x
  2. Step 2: Convert to fraction form
    106,324/220,119 = 220,119/x
  3. Step 3: Cross multiply
    106,324x = 220,119 × 220,119
  4. Step 4: Simplify right side
    106,324x = 48,452,374,161
  5. Step 5: Solve for x
    x = 48,452,374,161/106,324
  6. Step 6: Final answer
    x = 455,704.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.