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Finding the Third Proportional to 99,930 and 214,074

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Solution

The third proportional to 99,930 and 214,074 is: 458,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,930 : 214,074 = 214,074 : x
  2. Step 2: Convert to fraction form
    99,930/214,074 = 214,074/x
  3. Step 3: Cross multiply
    99,930x = 214,074 × 214,074
  4. Step 4: Simplify right side
    99,930x = 45,827,677,476
  5. Step 5: Solve for x
    x = 45,827,677,476/99,930
  6. Step 6: Final answer
    x = 458,597.79

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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.