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Finding the Third Proportional to 48,949.31 and 104,459.63

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Solution

The third proportional to 48,949.31 and 104,459.63 is: 222,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,949.31 : 104,459.63 = 104,459.63 : x
  2. Step 2: Convert to fraction form
    48,949.31/104,459.63 = 104,459.63/x
  3. Step 3: Cross multiply
    48,949.31x = 104,459.63 × 104,459.63
  4. Step 4: Simplify right side
    48,949.31x = 10,911,813,255.14
  5. Step 5: Solve for x
    x = 10,911,813,255.14/48,949.31
  6. Step 6: Final answer
    x = 222,920.66

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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.