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Finding the Third Proportional to 89,833 and 190,620

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Solution

The third proportional to 89,833 and 190,620 is: 404,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,833 : 190,620 = 190,620 : x
  2. Step 2: Convert to fraction form
    89,833/190,620 = 190,620/x
  3. Step 3: Cross multiply
    89,833x = 190,620 × 190,620
  4. Step 4: Simplify right side
    89,833x = 36,335,984,400
  5. Step 5: Solve for x
    x = 36,335,984,400/89,833
  6. Step 6: Final answer
    x = 404,483.70

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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.