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Finding the Third Proportional to 51,832.13 and 108,885.38

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Solution

The third proportional to 51,832.13 and 108,885.38 is: 228,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,832.13 : 108,885.38 = 108,885.38 : x
  2. Step 2: Convert to fraction form
    51,832.13/108,885.38 = 108,885.38/x
  3. Step 3: Cross multiply
    51,832.13x = 108,885.38 × 108,885.38
  4. Step 4: Simplify right side
    51,832.13x = 11,856,024,888.89
  5. Step 5: Solve for x
    x = 11,856,024,888.89/51,832.13
  6. Step 6: Final answer
    x = 228,738.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.