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Finding the Third Proportional to 89,706 and 190,344

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Solution

The third proportional to 89,706 and 190,344 is: 403,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706 : 190,344 = 190,344 : x
  2. Step 2: Convert to fraction form
    89,706/190,344 = 190,344/x
  3. Step 3: Cross multiply
    89,706x = 190,344 × 190,344
  4. Step 4: Simplify right side
    89,706x = 36,230,838,336
  5. Step 5: Solve for x
    x = 36,230,838,336/89,706
  6. Step 6: Final answer
    x = 403,884.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.