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Finding the Third Proportional to 48,984.75 and 104,378.63

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Solution

The third proportional to 48,984.75 and 104,378.63 is: 222,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,984.75 : 104,378.63 = 104,378.63 : x
  2. Step 2: Convert to fraction form
    48,984.75/104,378.63 = 104,378.63/x
  3. Step 3: Cross multiply
    48,984.75x = 104,378.63 × 104,378.63
  4. Step 4: Simplify right side
    48,984.75x = 10,894,897,356.89
  5. Step 5: Solve for x
    x = 10,894,897,356.89/48,984.75
  6. Step 6: Final answer
    x = 222,414.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.