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Finding the Third Proportional to 101,935 and 216,992

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Solution

The third proportional to 101,935 and 216,992 is: 461,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,935 : 216,992 = 216,992 : x
  2. Step 2: Convert to fraction form
    101,935/216,992 = 216,992/x
  3. Step 3: Cross multiply
    101,935x = 216,992 × 216,992
  4. Step 4: Simplify right side
    101,935x = 47,085,528,064
  5. Step 5: Solve for x
    x = 47,085,528,064/101,935
  6. Step 6: Final answer
    x = 461,917.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.