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Finding the Third Proportional to 88,196 and 193,950

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Solution

The third proportional to 88,196 and 193,950 is: 426,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,196 : 193,950 = 193,950 : x
  2. Step 2: Convert to fraction form
    88,196/193,950 = 193,950/x
  3. Step 3: Cross multiply
    88,196x = 193,950 × 193,950
  4. Step 4: Simplify right side
    88,196x = 37,616,602,500
  5. Step 5: Solve for x
    x = 37,616,602,500/88,196
  6. Step 6: Final answer
    x = 426,511.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.