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Finding the Third Proportional to 88,996.50 and 195,381

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Solution

The third proportional to 88,996.50 and 195,381 is: 428,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,996.50 : 195,381 = 195,381 : x
  2. Step 2: Convert to fraction form
    88,996.50/195,381 = 195,381/x
  3. Step 3: Cross multiply
    88,996.50x = 195,381 × 195,381
  4. Step 4: Simplify right side
    88,996.50x = 38,173,735,161
  5. Step 5: Solve for x
    x = 38,173,735,161/88,996.50
  6. Step 6: Final answer
    x = 428,935.24

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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.