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Finding the Third Proportional to 46,154 and 100,408

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Solution

The third proportional to 46,154 and 100,408 is: 218,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,154 : 100,408 = 100,408 : x
  2. Step 2: Convert to fraction form
    46,154/100,408 = 100,408/x
  3. Step 3: Cross multiply
    46,154x = 100,408 × 100,408
  4. Step 4: Simplify right side
    46,154x = 10,081,766,464
  5. Step 5: Solve for x
    x = 10,081,766,464/46,154
  6. Step 6: Final answer
    x = 218,437.55

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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.