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Finding the Third Proportional to 46,324 and 99,992

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Solution

The third proportional to 46,324 and 99,992 is: 215,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,324 : 99,992 = 99,992 : x
  2. Step 2: Convert to fraction form
    46,324/99,992 = 99,992/x
  3. Step 3: Cross multiply
    46,324x = 99,992 × 99,992
  4. Step 4: Simplify right side
    46,324x = 9,998,400,064
  5. Step 5: Solve for x
    x = 9,998,400,064/46,324
  6. Step 6: Final answer
    x = 215,836.28

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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.