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Finding the Third Proportional to 99,909 and 214,033

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Solution

The third proportional to 99,909 and 214,033 is: 458,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909 : 214,033 = 214,033 : x
  2. Step 2: Convert to fraction form
    99,909/214,033 = 214,033/x
  3. Step 3: Cross multiply
    99,909x = 214,033 × 214,033
  4. Step 4: Simplify right side
    99,909x = 45,810,125,089
  5. Step 5: Solve for x
    x = 45,810,125,089/99,909
  6. Step 6: Final answer
    x = 458,518.50

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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.