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Finding the Third Proportional to 43,678.41 and 94,497.47

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Solution

The third proportional to 43,678.41 and 94,497.47 is: 204,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678.41 : 94,497.47 = 94,497.47 : x
  2. Step 2: Convert to fraction form
    43,678.41/94,497.47 = 94,497.47/x
  3. Step 3: Cross multiply
    43,678.41x = 94,497.47 × 94,497.47
  4. Step 4: Simplify right side
    43,678.41x = 8,929,771,600.16
  5. Step 5: Solve for x
    x = 8,929,771,600.16/43,678.41
  6. Step 6: Final answer
    x = 204,443.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.