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Finding the Third Proportional to 88,999 and 195,385

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Solution

The third proportional to 88,999 and 195,385 is: 428,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,999 : 195,385 = 195,385 : x
  2. Step 2: Convert to fraction form
    88,999/195,385 = 195,385/x
  3. Step 3: Cross multiply
    88,999x = 195,385 × 195,385
  4. Step 4: Simplify right side
    88,999x = 38,175,298,225
  5. Step 5: Solve for x
    x = 38,175,298,225/88,999
  6. Step 6: Final answer
    x = 428,940.75

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Why These Related Problems?

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