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Finding the Third Proportional to 99,092 and 216,980

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Solution

The third proportional to 99,092 and 216,980 is: 475,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,092 : 216,980 = 216,980 : x
  2. Step 2: Convert to fraction form
    99,092/216,980 = 216,980/x
  3. Step 3: Cross multiply
    99,092x = 216,980 × 216,980
  4. Step 4: Simplify right side
    99,092x = 47,080,320,400
  5. Step 5: Solve for x
    x = 47,080,320,400/99,092
  6. Step 6: Final answer
    x = 475,117.27

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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.