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Finding the Third Proportional to 46,216 and 99,824

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Solution

The third proportional to 46,216 and 99,824 is: 215,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,216 : 99,824 = 99,824 : x
  2. Step 2: Convert to fraction form
    46,216/99,824 = 99,824/x
  3. Step 3: Cross multiply
    46,216x = 99,824 × 99,824
  4. Step 4: Simplify right side
    46,216x = 9,964,830,976
  5. Step 5: Solve for x
    x = 9,964,830,976/46,216
  6. Step 6: Final answer
    x = 215,614.31

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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.