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Finding the Third Proportional to 89,046 and 193,644

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Solution

The third proportional to 89,046 and 193,644 is: 421,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,046 : 193,644 = 193,644 : x
  2. Step 2: Convert to fraction form
    89,046/193,644 = 193,644/x
  3. Step 3: Cross multiply
    89,046x = 193,644 × 193,644
  4. Step 4: Simplify right side
    89,046x = 37,497,998,736
  5. Step 5: Solve for x
    x = 37,497,998,736/89,046
  6. Step 6: Final answer
    x = 421,108.18

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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.