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Finding the Third Proportional to 48,709.13 and 101,246.63

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Solution

The third proportional to 48,709.13 and 101,246.63 is: 210,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709.13 : 101,246.63 = 101,246.63 : x
  2. Step 2: Convert to fraction form
    48,709.13/101,246.63 = 101,246.63/x
  3. Step 3: Cross multiply
    48,709.13x = 101,246.63 × 101,246.63
  4. Step 4: Simplify right side
    48,709.13x = 10,250,879,073.89
  5. Step 5: Solve for x
    x = 10,250,879,073.89/48,709.13
  6. Step 6: Final answer
    x = 210,450.90

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