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Finding the Third Proportional to 48,535.45 and 103,819.22

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Solution

The third proportional to 48,535.45 and 103,819.22 is: 222,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535.45 : 103,819.22 = 103,819.22 : x
  2. Step 2: Convert to fraction form
    48,535.45/103,819.22 = 103,819.22/x
  3. Step 3: Cross multiply
    48,535.45x = 103,819.22 × 103,819.22
  4. Step 4: Simplify right side
    48,535.45x = 10,778,430,181.86
  5. Step 5: Solve for x
    x = 10,778,430,181.86/48,535.45
  6. Step 6: Final answer
    x = 222,073.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.