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Finding the Third Proportional to 99,622 and 214,981

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Solution

The third proportional to 99,622 and 214,981 is: 463,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,622 : 214,981 = 214,981 : x
  2. Step 2: Convert to fraction form
    99,622/214,981 = 214,981/x
  3. Step 3: Cross multiply
    99,622x = 214,981 × 214,981
  4. Step 4: Simplify right side
    99,622x = 46,216,830,361
  5. Step 5: Solve for x
    x = 46,216,830,361/99,622
  6. Step 6: Final answer
    x = 463,921.93

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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.