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Finding the Third Proportional to 103,977.50 and 212,873.25

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Solution

The third proportional to 103,977.50 and 212,873.25 is: 435,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977.50 : 212,873.25 = 212,873.25 : x
  2. Step 2: Convert to fraction form
    103,977.50/212,873.25 = 212,873.25/x
  3. Step 3: Cross multiply
    103,977.50x = 212,873.25 × 212,873.25
  4. Step 4: Simplify right side
    103,977.50x = 45,315,020,565.56
  5. Step 5: Solve for x
    x = 45,315,020,565.56/103,977.50
  6. Step 6: Final answer
    x = 435,815.64

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.