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Finding the Third Proportional to 128,539.41 and 281,993.91

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Solution

The third proportional to 128,539.41 and 281,993.91 is: 618,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,539.41 : 281,993.91 = 281,993.91 : x
  2. Step 2: Convert to fraction form
    128,539.41/281,993.91 = 281,993.91/x
  3. Step 3: Cross multiply
    128,539.41x = 281,993.91 × 281,993.91
  4. Step 4: Simplify right side
    128,539.41x = 79,520,563,162.13
  5. Step 5: Solve for x
    x = 79,520,563,162.13/128,539.41
  6. Step 6: Final answer
    x = 618,647.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.