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Finding the Third Proportional to 51,522 and 108,578.63

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Solution

The third proportional to 51,522 and 108,578.63 is: 228,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,522 : 108,578.63 = 108,578.63 : x
  2. Step 2: Convert to fraction form
    51,522/108,578.63 = 108,578.63/x
  3. Step 3: Cross multiply
    51,522x = 108,578.63 × 108,578.63
  4. Step 4: Simplify right side
    51,522x = 11,789,317,806.89
  5. Step 5: Solve for x
    x = 11,789,317,806.89/51,522
  6. Step 6: Final answer
    x = 228,821.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.