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Finding the Third Proportional to 46,153 and 100,406

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Solution

The third proportional to 46,153 and 100,406 is: 218,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,153 : 100,406 = 100,406 : x
  2. Step 2: Convert to fraction form
    46,153/100,406 = 100,406/x
  3. Step 3: Cross multiply
    46,153x = 100,406 × 100,406
  4. Step 4: Simplify right side
    46,153x = 10,081,364,836
  5. Step 5: Solve for x
    x = 10,081,364,836/46,153
  6. Step 6: Final answer
    x = 218,433.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.