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Finding the Third Proportional to 48,826.13 and 101,539.13

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Solution

The third proportional to 48,826.13 and 101,539.13 is: 211,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,826.13 : 101,539.13 = 101,539.13 : x
  2. Step 2: Convert to fraction form
    48,826.13/101,539.13 = 101,539.13/x
  3. Step 3: Cross multiply
    48,826.13x = 101,539.13 × 101,539.13
  4. Step 4: Simplify right side
    48,826.13x = 10,310,193,905.77
  5. Step 5: Solve for x
    x = 10,310,193,905.77/48,826.13
  6. Step 6: Final answer
    x = 211,161.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.