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Finding the Third Proportional to 43,923.94 and 96,312.38

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Solution

The third proportional to 43,923.94 and 96,312.38 is: 211,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,923.94 : 96,312.38 = 96,312.38 : x
  2. Step 2: Convert to fraction form
    43,923.94/96,312.38 = 96,312.38/x
  3. Step 3: Cross multiply
    43,923.94x = 96,312.38 × 96,312.38
  4. Step 4: Simplify right side
    43,923.94x = 9,276,073,578.14
  5. Step 5: Solve for x
    x = 9,276,073,578.14/43,923.94
  6. Step 6: Final answer
    x = 211,184.93

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Why These Related Problems?

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