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Finding the Third Proportional to 47,269.88 and 103,389.94

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Solution

The third proportional to 47,269.88 and 103,389.94 is: 226,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269.88 : 103,389.94 = 103,389.94 : x
  2. Step 2: Convert to fraction form
    47,269.88/103,389.94 = 103,389.94/x
  3. Step 3: Cross multiply
    47,269.88x = 103,389.94 × 103,389.94
  4. Step 4: Simplify right side
    47,269.88x = 10,689,479,176.25
  5. Step 5: Solve for x
    x = 10,689,479,176.25/47,269.88
  6. Step 6: Final answer
    x = 226,137.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.