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Finding the Third Proportional to 226,736,583 and 340,045,824

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Solution

The third proportional to 226,736,583 and 340,045,824 is: 509,980,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,736,583 : 340,045,824 = 340,045,824 : x
  2. Step 2: Convert to fraction form
    226,736,583/340,045,824 = 340,045,824/x
  3. Step 3: Cross multiply
    226,736,583x = 340,045,824 × 340,045,824
  4. Step 4: Simplify right side
    226,736,583x = 115,631,162,419,838,976
  5. Step 5: Solve for x
    x = 115,631,162,419,838,976/226,736,583
  6. Step 6: Final answer
    x = 509,980,175.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.