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Finding the Third Proportional to 106,008.75 and 227,372.06

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Solution

The third proportional to 106,008.75 and 227,372.06 is: 487,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,008.75 : 227,372.06 = 227,372.06 : x
  2. Step 2: Convert to fraction form
    106,008.75/227,372.06 = 227,372.06/x
  3. Step 3: Cross multiply
    106,008.75x = 227,372.06 × 227,372.06
  4. Step 4: Simplify right side
    106,008.75x = 51,698,054,805.50
  5. Step 5: Solve for x
    x = 51,698,054,805.50/106,008.75
  6. Step 6: Final answer
    x = 487,677.24

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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.