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Finding the Third Proportional to 40,221 and 93,512.25

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Solution

The third proportional to 40,221 and 93,512.25 is: 217,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221 : 93,512.25 = 93,512.25 : x
  2. Step 2: Convert to fraction form
    40,221/93,512.25 = 93,512.25/x
  3. Step 3: Cross multiply
    40,221x = 93,512.25 × 93,512.25
  4. Step 4: Simplify right side
    40,221x = 8,744,540,900.06
  5. Step 5: Solve for x
    x = 8,744,540,900.06/40,221
  6. Step 6: Final answer
    x = 217,412.32

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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.