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Finding the Third Proportional to 48,448.13 and 103,901.06

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Solution

The third proportional to 48,448.13 and 103,901.06 is: 222,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.13 : 103,901.06 = 103,901.06 : x
  2. Step 2: Convert to fraction form
    48,448.13/103,901.06 = 103,901.06/x
  3. Step 3: Cross multiply
    48,448.13x = 103,901.06 × 103,901.06
  4. Step 4: Simplify right side
    48,448.13x = 10,795,430,788.63
  5. Step 5: Solve for x
    x = 10,795,430,788.63/48,448.13
  6. Step 6: Final answer
    x = 222,824.53

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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.