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Finding the Third Proportional to 109,933 and 235,411

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Solution

The third proportional to 109,933 and 235,411 is: 504,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,933 : 235,411 = 235,411 : x
  2. Step 2: Convert to fraction form
    109,933/235,411 = 235,411/x
  3. Step 3: Cross multiply
    109,933x = 235,411 × 235,411
  4. Step 4: Simplify right side
    109,933x = 55,418,338,921
  5. Step 5: Solve for x
    x = 55,418,338,921/109,933
  6. Step 6: Final answer
    x = 504,110.13

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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.