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Finding the Third Proportional to 273,216,812.06 and 419,694,442.45

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Solution

The third proportional to 273,216,812.06 and 419,694,442.45 is: 644,701,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216,812.06 : 419,694,442.45 = 419,694,442.45 : x
  2. Step 2: Convert to fraction form
    273,216,812.06/419,694,442.45 = 419,694,442.45/x
  3. Step 3: Cross multiply
    273,216,812.06x = 419,694,442.45 × 419,694,442.45
  4. Step 4: Simplify right side
    273,216,812.06x = 176,143,425,026,035,264
  5. Step 5: Solve for x
    x = 176,143,425,026,035,264/273,216,812.06
  6. Step 6: Final answer
    x = 644,701,999.47

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