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Finding the Third Proportional to 273,216,812.09 and 419,694,442.50

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Solution

The third proportional to 273,216,812.09 and 419,694,442.50 is: 644,701,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216,812.09 : 419,694,442.50 = 419,694,442.50 : x
  2. Step 2: Convert to fraction form
    273,216,812.09/419,694,442.50 = 419,694,442.50/x
  3. Step 3: Cross multiply
    273,216,812.09x = 419,694,442.50 × 419,694,442.50
  4. Step 4: Simplify right side
    273,216,812.09x = 176,143,425,065,385,792
  5. Step 5: Solve for x
    x = 176,143,425,065,385,792/273,216,812.09
  6. Step 6: Final answer
    x = 644,701,999.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.