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Finding the Third Proportional to 109,138 and 229,284

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Solution

The third proportional to 109,138 and 229,284 is: 481,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,138 : 229,284 = 229,284 : x
  2. Step 2: Convert to fraction form
    109,138/229,284 = 229,284/x
  3. Step 3: Cross multiply
    109,138x = 229,284 × 229,284
  4. Step 4: Simplify right side
    109,138x = 52,571,152,656
  5. Step 5: Solve for x
    x = 52,571,152,656/109,138
  6. Step 6: Final answer
    x = 481,694.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.