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Finding the Third Proportional to 40,215.94 and 85,951.69

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Solution

The third proportional to 40,215.94 and 85,951.69 is: 183,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,215.94 : 85,951.69 = 85,951.69 : x
  2. Step 2: Convert to fraction form
    40,215.94/85,951.69 = 85,951.69/x
  3. Step 3: Cross multiply
    40,215.94x = 85,951.69 × 85,951.69
  4. Step 4: Simplify right side
    40,215.94x = 7,387,692,584.10
  5. Step 5: Solve for x
    x = 7,387,692,584.10/40,215.94
  6. Step 6: Final answer
    x = 183,700.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.