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Finding the Third Proportional to 92,844 and 190,604

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Solution

The third proportional to 92,844 and 190,604 is: 391,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,844 : 190,604 = 190,604 : x
  2. Step 2: Convert to fraction form
    92,844/190,604 = 190,604/x
  3. Step 3: Cross multiply
    92,844x = 190,604 × 190,604
  4. Step 4: Simplify right side
    92,844x = 36,329,884,816
  5. Step 5: Solve for x
    x = 36,329,884,816/92,844
  6. Step 6: Final answer
    x = 391,300.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.