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Finding the Third Proportional to 46,576 and 101,840

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Solution

The third proportional to 46,576 and 101,840 is: 222,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,576 : 101,840 = 101,840 : x
  2. Step 2: Convert to fraction form
    46,576/101,840 = 101,840/x
  3. Step 3: Cross multiply
    46,576x = 101,840 × 101,840
  4. Step 4: Simplify right side
    46,576x = 10,371,385,600
  5. Step 5: Solve for x
    x = 10,371,385,600/46,576
  6. Step 6: Final answer
    x = 222,676.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.