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Finding the Third Proportional to 109,609.31 and 235,536.75

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Solution

The third proportional to 109,609.31 and 235,536.75 is: 506,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609.31 : 235,536.75 = 235,536.75 : x
  2. Step 2: Convert to fraction form
    109,609.31/235,536.75 = 235,536.75/x
  3. Step 3: Cross multiply
    109,609.31x = 235,536.75 × 235,536.75
  4. Step 4: Simplify right side
    109,609.31x = 55,477,560,600.56
  5. Step 5: Solve for x
    x = 55,477,560,600.56/109,609.31
  6. Step 6: Final answer
    x = 506,139.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.