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Finding the Third Proportional to 46,310 and 101,183

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Solution

The third proportional to 46,310 and 101,183 is: 221,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,310 : 101,183 = 101,183 : x
  2. Step 2: Convert to fraction form
    46,310/101,183 = 101,183/x
  3. Step 3: Cross multiply
    46,310x = 101,183 × 101,183
  4. Step 4: Simplify right side
    46,310x = 10,237,999,489
  5. Step 5: Solve for x
    x = 10,237,999,489/46,310
  6. Step 6: Final answer
    x = 221,075.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.