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Finding the Third Proportional to 83,090 and 181,219

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Solution

The third proportional to 83,090 and 181,219 is: 395,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090 : 181,219 = 181,219 : x
  2. Step 2: Convert to fraction form
    83,090/181,219 = 181,219/x
  3. Step 3: Cross multiply
    83,090x = 181,219 × 181,219
  4. Step 4: Simplify right side
    83,090x = 32,840,325,961
  5. Step 5: Solve for x
    x = 32,840,325,961/83,090
  6. Step 6: Final answer
    x = 395,238.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.