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Finding the Third Proportional to 102,289.50 and 222,283.41

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Solution

The third proportional to 102,289.50 and 222,283.41 is: 483,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,289.50 : 222,283.41 = 222,283.41 : x
  2. Step 2: Convert to fraction form
    102,289.50/222,283.41 = 222,283.41/x
  3. Step 3: Cross multiply
    102,289.50x = 222,283.41 × 222,283.41
  4. Step 4: Simplify right side
    102,289.50x = 49,409,912,694.10
  5. Step 5: Solve for x
    x = 49,409,912,694.10/102,289.50
  6. Step 6: Final answer
    x = 483,039.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.