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Finding the Third Proportional to 45,412 and 98,999

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Solution

The third proportional to 45,412 and 98,999 is: 215,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,412 : 98,999 = 98,999 : x
  2. Step 2: Convert to fraction form
    45,412/98,999 = 98,999/x
  3. Step 3: Cross multiply
    45,412x = 98,999 × 98,999
  4. Step 4: Simplify right side
    45,412x = 9,800,802,001
  5. Step 5: Solve for x
    x = 9,800,802,001/45,412
  6. Step 6: Final answer
    x = 215,819.65

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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.