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Finding the Third Proportional to 116,638.88 and 164,364.75

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Solution

The third proportional to 116,638.88 and 164,364.75 is: 231,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,638.88 : 164,364.75 = 164,364.75 : x
  2. Step 2: Convert to fraction form
    116,638.88/164,364.75 = 164,364.75/x
  3. Step 3: Cross multiply
    116,638.88x = 164,364.75 × 164,364.75
  4. Step 4: Simplify right side
    116,638.88x = 27,015,771,042.56
  5. Step 5: Solve for x
    x = 27,015,771,042.56/116,638.88
  6. Step 6: Final answer
    x = 231,618.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.