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Finding the Third Proportional to 47,185 and 99,077

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Solution

The third proportional to 47,185 and 99,077 is: 208,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,185 : 99,077 = 99,077 : x
  2. Step 2: Convert to fraction form
    47,185/99,077 = 99,077/x
  3. Step 3: Cross multiply
    47,185x = 99,077 × 99,077
  4. Step 4: Simplify right side
    47,185x = 9,816,251,929
  5. Step 5: Solve for x
    x = 9,816,251,929/47,185
  6. Step 6: Final answer
    x = 208,037.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.