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Finding the Third Proportional to 107,334 and 211,961.25

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Solution

The third proportional to 107,334 and 211,961.25 is: 418,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,334 : 211,961.25 = 211,961.25 : x
  2. Step 2: Convert to fraction form
    107,334/211,961.25 = 211,961.25/x
  3. Step 3: Cross multiply
    107,334x = 211,961.25 × 211,961.25
  4. Step 4: Simplify right side
    107,334x = 44,927,571,501.56
  5. Step 5: Solve for x
    x = 44,927,571,501.56/107,334
  6. Step 6: Final answer
    x = 418,577.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.