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Finding the Third Proportional to 96,159 and 222,615.75

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Solution

The third proportional to 96,159 and 222,615.75 is: 515,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,159 : 222,615.75 = 222,615.75 : x
  2. Step 2: Convert to fraction form
    96,159/222,615.75 = 222,615.75/x
  3. Step 3: Cross multiply
    96,159x = 222,615.75 × 222,615.75
  4. Step 4: Simplify right side
    96,159x = 49,557,772,148.06
  5. Step 5: Solve for x
    x = 49,557,772,148.06/96,159
  6. Step 6: Final answer
    x = 515,373.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.