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Finding the Third Proportional to 109,158 and 229,980

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Solution

The third proportional to 109,158 and 229,980 is: 484,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,158 : 229,980 = 229,980 : x
  2. Step 2: Convert to fraction form
    109,158/229,980 = 229,980/x
  3. Step 3: Cross multiply
    109,158x = 229,980 × 229,980
  4. Step 4: Simplify right side
    109,158x = 52,890,800,400
  5. Step 5: Solve for x
    x = 52,890,800,400/109,158
  6. Step 6: Final answer
    x = 484,534.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.