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Finding the Third Proportional to 216,526,774 and 505,246,589

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Solution

The third proportional to 216,526,774 and 505,246,589 is: 1,178,949,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,526,774 : 505,246,589 = 505,246,589 : x
  2. Step 2: Convert to fraction form
    216,526,774/505,246,589 = 505,246,589/x
  3. Step 3: Cross multiply
    216,526,774x = 505,246,589 × 505,246,589
  4. Step 4: Simplify right side
    216,526,774x = 255,274,115,696,134,912
  5. Step 5: Solve for x
    x = 255,274,115,696,134,912/216,526,774
  6. Step 6: Final answer
    x = 1,178,949,424.96

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.