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Finding the Third Proportional to 43,148.81 and 94,141.97

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Solution

The third proportional to 43,148.81 and 94,141.97 is: 205,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148.81 : 94,141.97 = 94,141.97 : x
  2. Step 2: Convert to fraction form
    43,148.81/94,141.97 = 94,141.97/x
  3. Step 3: Cross multiply
    43,148.81x = 94,141.97 × 94,141.97
  4. Step 4: Simplify right side
    43,148.81x = 8,862,710,280.13
  5. Step 5: Solve for x
    x = 8,862,710,280.13/43,148.81
  6. Step 6: Final answer
    x = 205,398.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.