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Finding the Third Proportional to 108,912.84 and 235,919.67

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Solution

The third proportional to 108,912.84 and 235,919.67 is: 511,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,912.84 : 235,919.67 = 235,919.67 : x
  2. Step 2: Convert to fraction form
    108,912.84/235,919.67 = 235,919.67/x
  3. Step 3: Cross multiply
    108,912.84x = 235,919.67 × 235,919.67
  4. Step 4: Simplify right side
    108,912.84x = 55,658,091,577.61
  5. Step 5: Solve for x
    x = 55,658,091,577.61/108,912.84
  6. Step 6: Final answer
    x = 511,033.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.