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Finding the Third Proportional to 97,872 and 211,783

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Solution

The third proportional to 97,872 and 211,783 is: 458,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,872 : 211,783 = 211,783 : x
  2. Step 2: Convert to fraction form
    97,872/211,783 = 211,783/x
  3. Step 3: Cross multiply
    97,872x = 211,783 × 211,783
  4. Step 4: Simplify right side
    97,872x = 44,852,039,089
  5. Step 5: Solve for x
    x = 44,852,039,089/97,872
  6. Step 6: Final answer
    x = 458,272.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.