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Finding the Third Proportional to 102,257.44 and 217,631.81

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Solution

The third proportional to 102,257.44 and 217,631.81 is: 463,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.44 : 217,631.81 = 217,631.81 : x
  2. Step 2: Convert to fraction form
    102,257.44/217,631.81 = 217,631.81/x
  3. Step 3: Cross multiply
    102,257.44x = 217,631.81 × 217,631.81
  4. Step 4: Simplify right side
    102,257.44x = 47,363,605,812.04
  5. Step 5: Solve for x
    x = 47,363,605,812.04/102,257.44
  6. Step 6: Final answer
    x = 463,180.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.