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Finding the Third Proportional to 88,751.75 and 193,766.38

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Solution

The third proportional to 88,751.75 and 193,766.38 is: 423,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,751.75 : 193,766.38 = 193,766.38 : x
  2. Step 2: Convert to fraction form
    88,751.75/193,766.38 = 193,766.38/x
  3. Step 3: Cross multiply
    88,751.75x = 193,766.38 × 193,766.38
  4. Step 4: Simplify right side
    88,751.75x = 37,545,408,080.64
  5. Step 5: Solve for x
    x = 37,545,408,080.64/88,751.75
  6. Step 6: Final answer
    x = 423,038.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.