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Finding the Third Proportional to 46,049.77 and 99,102.87

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Solution

The third proportional to 46,049.77 and 99,102.87 is: 213,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,049.77 : 99,102.87 = 99,102.87 : x
  2. Step 2: Convert to fraction form
    46,049.77/99,102.87 = 99,102.87/x
  3. Step 3: Cross multiply
    46,049.77x = 99,102.87 × 99,102.87
  4. Step 4: Simplify right side
    46,049.77x = 9,821,378,284.78
  5. Step 5: Solve for x
    x = 9,821,378,284.78/46,049.77
  6. Step 6: Final answer
    x = 213,277.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.