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Finding the Third Proportional to 106,675.31 and 229,165.88

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Solution

The third proportional to 106,675.31 and 229,165.88 is: 492,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,675.31 : 229,165.88 = 229,165.88 : x
  2. Step 2: Convert to fraction form
    106,675.31/229,165.88 = 229,165.88/x
  3. Step 3: Cross multiply
    106,675.31x = 229,165.88 × 229,165.88
  4. Step 4: Simplify right side
    106,675.31x = 52,516,998,264.52
  5. Step 5: Solve for x
    x = 52,516,998,264.52/106,675.31
  6. Step 6: Final answer
    x = 492,306.95

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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.