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Finding the Third Proportional to 48,283.88 and 104,605.88

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Solution

The third proportional to 48,283.88 and 104,605.88 is: 226,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,283.88 : 104,605.88 = 104,605.88 : x
  2. Step 2: Convert to fraction form
    48,283.88/104,605.88 = 104,605.88/x
  3. Step 3: Cross multiply
    48,283.88x = 104,605.88 × 104,605.88
  4. Step 4: Simplify right side
    48,283.88x = 10,942,389,084.52
  5. Step 5: Solve for x
    x = 10,942,389,084.52/48,283.88
  6. Step 6: Final answer
    x = 226,626.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.