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Finding the Third Proportional to 281,088,235.50 and 419,978,977.88

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Solution

The third proportional to 281,088,235.50 and 419,978,977.88 is: 627,498,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,088,235.50 : 419,978,977.88 = 419,978,977.88 : x
  2. Step 2: Convert to fraction form
    281,088,235.50/419,978,977.88 = 419,978,977.88/x
  3. Step 3: Cross multiply
    281,088,235.50x = 419,978,977.88 × 419,978,977.88
  4. Step 4: Simplify right side
    281,088,235.50x = 176,382,341,856,929,728
  5. Step 5: Solve for x
    x = 176,382,341,856,929,728/281,088,235.50
  6. Step 6: Final answer
    x = 627,498,128.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.