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Finding the Third Proportional to 46,304 and 100,976

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Solution

The third proportional to 46,304 and 100,976 is: 220,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,304 : 100,976 = 100,976 : x
  2. Step 2: Convert to fraction form
    46,304/100,976 = 100,976/x
  3. Step 3: Cross multiply
    46,304x = 100,976 × 100,976
  4. Step 4: Simplify right side
    46,304x = 10,196,152,576
  5. Step 5: Solve for x
    x = 10,196,152,576/46,304
  6. Step 6: Final answer
    x = 220,200.25

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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.