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Finding the Third Proportional to 103,801.50 and 215,325

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Solution

The third proportional to 103,801.50 and 215,325 is: 446,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,801.50 : 215,325 = 215,325 : x
  2. Step 2: Convert to fraction form
    103,801.50/215,325 = 215,325/x
  3. Step 3: Cross multiply
    103,801.50x = 215,325 × 215,325
  4. Step 4: Simplify right side
    103,801.50x = 46,364,855,625
  5. Step 5: Solve for x
    x = 46,364,855,625/103,801.50
  6. Step 6: Final answer
    x = 446,668.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.