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Finding the Third Proportional to 46,811 and 101,137

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Solution

The third proportional to 46,811 and 101,137 is: 218,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,811 : 101,137 = 101,137 : x
  2. Step 2: Convert to fraction form
    46,811/101,137 = 101,137/x
  3. Step 3: Cross multiply
    46,811x = 101,137 × 101,137
  4. Step 4: Simplify right side
    46,811x = 10,228,692,769
  5. Step 5: Solve for x
    x = 10,228,692,769/46,811
  6. Step 6: Final answer
    x = 218,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.