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Finding the Third Proportional to 106,745 and 229,984.50

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Solution

The third proportional to 106,745 and 229,984.50 is: 495,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,745 : 229,984.50 = 229,984.50 : x
  2. Step 2: Convert to fraction form
    106,745/229,984.50 = 229,984.50/x
  3. Step 3: Cross multiply
    106,745x = 229,984.50 × 229,984.50
  4. Step 4: Simplify right side
    106,745x = 52,892,870,240.25
  5. Step 5: Solve for x
    x = 52,892,870,240.25/106,745
  6. Step 6: Final answer
    x = 495,506.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.