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Finding the Third Proportional to 102,984 and 222,623.75

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Solution

The third proportional to 102,984 and 222,623.75 is: 481,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,984 : 222,623.75 = 222,623.75 : x
  2. Step 2: Convert to fraction form
    102,984/222,623.75 = 222,623.75/x
  3. Step 3: Cross multiply
    102,984x = 222,623.75 × 222,623.75
  4. Step 4: Simplify right side
    102,984x = 49,561,334,064.06
  5. Step 5: Solve for x
    x = 49,561,334,064.06/102,984
  6. Step 6: Final answer
    x = 481,252.76

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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.