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Finding the Third Proportional to 107,915.50 and 220,115

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Solution

The third proportional to 107,915.50 and 220,115 is: 448,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,915.50 : 220,115 = 220,115 : x
  2. Step 2: Convert to fraction form
    107,915.50/220,115 = 220,115/x
  3. Step 3: Cross multiply
    107,915.50x = 220,115 × 220,115
  4. Step 4: Simplify right side
    107,915.50x = 48,450,613,225
  5. Step 5: Solve for x
    x = 48,450,613,225/107,915.50
  6. Step 6: Final answer
    x = 448,968.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.