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Finding the Third Proportional to 96,234 and 205,530

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Solution

The third proportional to 96,234 and 205,530 is: 438,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234 : 205,530 = 205,530 : x
  2. Step 2: Convert to fraction form
    96,234/205,530 = 205,530/x
  3. Step 3: Cross multiply
    96,234x = 205,530 × 205,530
  4. Step 4: Simplify right side
    96,234x = 42,242,580,900
  5. Step 5: Solve for x
    x = 42,242,580,900/96,234
  6. Step 6: Final answer
    x = 438,956.93

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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.