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Finding the Third Proportional to 97,208 and 211,984

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Solution

The third proportional to 97,208 and 211,984 is: 462,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,208 : 211,984 = 211,984 : x
  2. Step 2: Convert to fraction form
    97,208/211,984 = 211,984/x
  3. Step 3: Cross multiply
    97,208x = 211,984 × 211,984
  4. Step 4: Simplify right side
    97,208x = 44,937,216,256
  5. Step 5: Solve for x
    x = 44,937,216,256/97,208
  6. Step 6: Final answer
    x = 462,278.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.