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Finding the Third Proportional to 40,324.71 and 94,181.48

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Solution

The third proportional to 40,324.71 and 94,181.48 is: 219,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,324.71 : 94,181.48 = 94,181.48 : x
  2. Step 2: Convert to fraction form
    40,324.71/94,181.48 = 94,181.48/x
  3. Step 3: Cross multiply
    40,324.71x = 94,181.48 × 94,181.48
  4. Step 4: Simplify right side
    40,324.71x = 8,870,151,999.08
  5. Step 5: Solve for x
    x = 8,870,151,999.08/40,324.71
  6. Step 6: Final answer
    x = 219,968.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.