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Finding the Third Proportional to 46,464 and 101,824

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Solution

The third proportional to 46,464 and 101,824 is: 223,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 101,824 = 101,824 : x
  2. Step 2: Convert to fraction form
    46,464/101,824 = 101,824/x
  3. Step 3: Cross multiply
    46,464x = 101,824 × 101,824
  4. Step 4: Simplify right side
    46,464x = 10,368,126,976
  5. Step 5: Solve for x
    x = 10,368,126,976/46,464
  6. Step 6: Final answer
    x = 223,143.23

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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.