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Finding the Third Proportional to 105,854.63 and 227,058.75

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Solution

The third proportional to 105,854.63 and 227,058.75 is: 487,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.63 : 227,058.75 = 227,058.75 : x
  2. Step 2: Convert to fraction form
    105,854.63/227,058.75 = 227,058.75/x
  3. Step 3: Cross multiply
    105,854.63x = 227,058.75 × 227,058.75
  4. Step 4: Simplify right side
    105,854.63x = 51,555,675,951.56
  5. Step 5: Solve for x
    x = 51,555,675,951.56/105,854.63
  6. Step 6: Final answer
    x = 487,042.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.