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Finding the Third Proportional to 90,841.50 and 219,442.50

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Solution

The third proportional to 90,841.50 and 219,442.50 is: 530,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841.50 : 219,442.50 = 219,442.50 : x
  2. Step 2: Convert to fraction form
    90,841.50/219,442.50 = 219,442.50/x
  3. Step 3: Cross multiply
    90,841.50x = 219,442.50 × 219,442.50
  4. Step 4: Simplify right side
    90,841.50x = 48,155,010,806.25
  5. Step 5: Solve for x
    x = 48,155,010,806.25/90,841.50
  6. Step 6: Final answer
    x = 530,099.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.