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Finding the Third Proportional to 99,944 and 214,102

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Solution

The third proportional to 99,944 and 214,102 is: 458,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,944 : 214,102 = 214,102 : x
  2. Step 2: Convert to fraction form
    99,944/214,102 = 214,102/x
  3. Step 3: Cross multiply
    99,944x = 214,102 × 214,102
  4. Step 4: Simplify right side
    99,944x = 45,839,666,404
  5. Step 5: Solve for x
    x = 45,839,666,404/99,944
  6. Step 6: Final answer
    x = 458,653.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.