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Finding the Third Proportional to 100,293.75 and 213,466.50

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Solution

The third proportional to 100,293.75 and 213,466.50 is: 454,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,293.75 : 213,466.50 = 213,466.50 : x
  2. Step 2: Convert to fraction form
    100,293.75/213,466.50 = 213,466.50/x
  3. Step 3: Cross multiply
    100,293.75x = 213,466.50 × 213,466.50
  4. Step 4: Simplify right side
    100,293.75x = 45,567,946,622.25
  5. Step 5: Solve for x
    x = 45,567,946,622.25/100,293.75
  6. Step 6: Final answer
    x = 454,344.83

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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.