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Finding the Third Proportional to 45,276.75 and 98,967.75

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Solution

The third proportional to 45,276.75 and 98,967.75 is: 216,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,276.75 : 98,967.75 = 98,967.75 : x
  2. Step 2: Convert to fraction form
    45,276.75/98,967.75 = 98,967.75/x
  3. Step 3: Cross multiply
    45,276.75x = 98,967.75 × 98,967.75
  4. Step 4: Simplify right side
    45,276.75x = 9,794,615,540.06
  5. Step 5: Solve for x
    x = 9,794,615,540.06/45,276.75
  6. Step 6: Final answer
    x = 216,327.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.