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Finding the Third Proportional to 46,858 and 101,200

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Solution

The third proportional to 46,858 and 101,200 is: 218,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858 : 101,200 = 101,200 : x
  2. Step 2: Convert to fraction form
    46,858/101,200 = 101,200/x
  3. Step 3: Cross multiply
    46,858x = 101,200 × 101,200
  4. Step 4: Simplify right side
    46,858x = 10,241,440,000
  5. Step 5: Solve for x
    x = 10,241,440,000/46,858
  6. Step 6: Final answer
    x = 218,563.32

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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.