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Finding the Third Proportional to 101,933 and 216,988

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Solution

The third proportional to 101,933 and 216,988 is: 461,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,933 : 216,988 = 216,988 : x
  2. Step 2: Convert to fraction form
    101,933/216,988 = 216,988/x
  3. Step 3: Cross multiply
    101,933x = 216,988 × 216,988
  4. Step 4: Simplify right side
    101,933x = 47,083,792,144
  5. Step 5: Solve for x
    x = 47,083,792,144/101,933
  6. Step 6: Final answer
    x = 461,909.22

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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.