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Finding the Third Proportional to 100,281.66 and 222,706.41

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Solution

The third proportional to 100,281.66 and 222,706.41 is: 494,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,281.66 : 222,706.41 = 222,706.41 : x
  2. Step 2: Convert to fraction form
    100,281.66/222,706.41 = 222,706.41/x
  3. Step 3: Cross multiply
    100,281.66x = 222,706.41 × 222,706.41
  4. Step 4: Simplify right side
    100,281.66x = 49,598,143,384.79
  5. Step 5: Solve for x
    x = 49,598,143,384.79/100,281.66
  6. Step 6: Final answer
    x = 494,588.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.