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Finding the Third Proportional to 97,816 and 214,384

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Solution

The third proportional to 97,816 and 214,384 is: 469,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,816 : 214,384 = 214,384 : x
  2. Step 2: Convert to fraction form
    97,816/214,384 = 214,384/x
  3. Step 3: Cross multiply
    97,816x = 214,384 × 214,384
  4. Step 4: Simplify right side
    97,816x = 45,960,499,456
  5. Step 5: Solve for x
    x = 45,960,499,456/97,816
  6. Step 6: Final answer
    x = 469,866.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.