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Finding the Third Proportional to 20,153.81 and 46,845.84

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Solution

The third proportional to 20,153.81 and 46,845.84 is: 108,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.81 : 46,845.84 = 46,845.84 : x
  2. Step 2: Convert to fraction form
    20,153.81/46,845.84 = 46,845.84/x
  3. Step 3: Cross multiply
    20,153.81x = 46,845.84 × 46,845.84
  4. Step 4: Simplify right side
    20,153.81x = 2,194,533,076.65
  5. Step 5: Solve for x
    x = 2,194,533,076.65/20,153.81
  6. Step 6: Final answer
    x = 108,889.23

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.