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Finding the Third Proportional to 109,471 and 236,042

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Solution

The third proportional to 109,471 and 236,042 is: 508,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471 : 236,042 = 236,042 : x
  2. Step 2: Convert to fraction form
    109,471/236,042 = 236,042/x
  3. Step 3: Cross multiply
    109,471x = 236,042 × 236,042
  4. Step 4: Simplify right side
    109,471x = 55,715,825,764
  5. Step 5: Solve for x
    x = 55,715,825,764/109,471
  6. Step 6: Final answer
    x = 508,955.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.