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Finding the Third Proportional to 88,852 and 192,464

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Solution

The third proportional to 88,852 and 192,464 is: 416,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,852 : 192,464 = 192,464 : x
  2. Step 2: Convert to fraction form
    88,852/192,464 = 192,464/x
  3. Step 3: Cross multiply
    88,852x = 192,464 × 192,464
  4. Step 4: Simplify right side
    88,852x = 37,042,391,296
  5. Step 5: Solve for x
    x = 37,042,391,296/88,852
  6. Step 6: Final answer
    x = 416,899.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.