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Finding the Third Proportional to 43,851.38 and 102,333.38

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Solution

The third proportional to 43,851.38 and 102,333.38 is: 238,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851.38 : 102,333.38 = 102,333.38 : x
  2. Step 2: Convert to fraction form
    43,851.38/102,333.38 = 102,333.38/x
  3. Step 3: Cross multiply
    43,851.38x = 102,333.38 × 102,333.38
  4. Step 4: Simplify right side
    43,851.38x = 10,472,119,638.89
  5. Step 5: Solve for x
    x = 10,472,119,638.89/43,851.38
  6. Step 6: Final answer
    x = 238,809.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.