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Finding the Third Proportional to 42,106.50 and 90,890.50

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Solution

The third proportional to 42,106.50 and 90,890.50 is: 196,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.50 : 90,890.50 = 90,890.50 : x
  2. Step 2: Convert to fraction form
    42,106.50/90,890.50 = 90,890.50/x
  3. Step 3: Cross multiply
    42,106.50x = 90,890.50 × 90,890.50
  4. Step 4: Simplify right side
    42,106.50x = 8,261,082,990.25
  5. Step 5: Solve for x
    x = 8,261,082,990.25/42,106.50
  6. Step 6: Final answer
    x = 196,194.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.