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Finding the Third Proportional to 46,991.81 and 110,892.38

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Solution

The third proportional to 46,991.81 and 110,892.38 is: 261,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,991.81 : 110,892.38 = 110,892.38 : x
  2. Step 2: Convert to fraction form
    46,991.81/110,892.38 = 110,892.38/x
  3. Step 3: Cross multiply
    46,991.81x = 110,892.38 × 110,892.38
  4. Step 4: Simplify right side
    46,991.81x = 12,297,118,833.14
  5. Step 5: Solve for x
    x = 12,297,118,833.14/46,991.81
  6. Step 6: Final answer
    x = 261,686.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.