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Finding the Third Proportional to 109,120 and 229,248

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Solution

The third proportional to 109,120 and 229,248 is: 481,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,120 : 229,248 = 229,248 : x
  2. Step 2: Convert to fraction form
    109,120/229,248 = 229,248/x
  3. Step 3: Cross multiply
    109,120x = 229,248 × 229,248
  4. Step 4: Simplify right side
    109,120x = 52,554,645,504
  5. Step 5: Solve for x
    x = 52,554,645,504/109,120
  6. Step 6: Final answer
    x = 481,622.48

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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.