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Finding the Third Proportional to 49,699.41 and 103,589.72

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Solution

The third proportional to 49,699.41 and 103,589.72 is: 215,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,699.41 : 103,589.72 = 103,589.72 : x
  2. Step 2: Convert to fraction form
    49,699.41/103,589.72 = 103,589.72/x
  3. Step 3: Cross multiply
    49,699.41x = 103,589.72 × 103,589.72
  4. Step 4: Simplify right side
    49,699.41x = 10,730,829,830.70
  5. Step 5: Solve for x
    x = 10,730,829,830.70/49,699.41
  6. Step 6: Final answer
    x = 215,914.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.