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Finding the Third Proportional to 250,938,081 and 543,564,756

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Solution

The third proportional to 250,938,081 and 543,564,756 is: 1,177,432,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,938,081 : 543,564,756 = 543,564,756 : x
  2. Step 2: Convert to fraction form
    250,938,081/543,564,756 = 543,564,756/x
  3. Step 3: Cross multiply
    250,938,081x = 543,564,756 × 543,564,756
  4. Step 4: Simplify right side
    250,938,081x = 295,462,643,965,339,520
  5. Step 5: Solve for x
    x = 295,462,643,965,339,520/250,938,081
  6. Step 6: Final answer
    x = 1,177,432,467.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.