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Finding the Third Proportional to 282,586,520.25 and 381,679,425

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Solution

The third proportional to 282,586,520.25 and 381,679,425 is: 515,520,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,586,520.25 : 381,679,425 = 381,679,425 : x
  2. Step 2: Convert to fraction form
    282,586,520.25/381,679,425 = 381,679,425/x
  3. Step 3: Cross multiply
    282,586,520.25x = 381,679,425 × 381,679,425
  4. Step 4: Simplify right side
    282,586,520.25x = 145,679,183,468,330,624
  5. Step 5: Solve for x
    x = 145,679,183,468,330,624/282,586,520.25
  6. Step 6: Final answer
    x = 515,520,638.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.