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Finding the Third Proportional to 47,065.50 and 100,989

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Solution

The third proportional to 47,065.50 and 100,989 is: 216,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.50 : 100,989 = 100,989 : x
  2. Step 2: Convert to fraction form
    47,065.50/100,989 = 100,989/x
  3. Step 3: Cross multiply
    47,065.50x = 100,989 × 100,989
  4. Step 4: Simplify right side
    47,065.50x = 10,198,778,121
  5. Step 5: Solve for x
    x = 10,198,778,121/47,065.50
  6. Step 6: Final answer
    x = 216,693.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.