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Finding the Third Proportional to 43,796 and 99,284

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Solution

The third proportional to 43,796 and 99,284 is: 225,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,796 : 99,284 = 99,284 : x
  2. Step 2: Convert to fraction form
    43,796/99,284 = 99,284/x
  3. Step 3: Cross multiply
    43,796x = 99,284 × 99,284
  4. Step 4: Simplify right side
    43,796x = 9,857,312,656
  5. Step 5: Solve for x
    x = 9,857,312,656/43,796
  6. Step 6: Final answer
    x = 225,073.36

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.