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Finding the Third Proportional to 46,606 and 101,488

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Solution

The third proportional to 46,606 and 101,488 is: 220,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,606 : 101,488 = 101,488 : x
  2. Step 2: Convert to fraction form
    46,606/101,488 = 101,488/x
  3. Step 3: Cross multiply
    46,606x = 101,488 × 101,488
  4. Step 4: Simplify right side
    46,606x = 10,299,814,144
  5. Step 5: Solve for x
    x = 10,299,814,144/46,606
  6. Step 6: Final answer
    x = 220,997.60

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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.