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Finding the Third Proportional to 106,592.63 and 229,314.38

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Solution

The third proportional to 106,592.63 and 229,314.38 is: 493,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,592.63 : 229,314.38 = 229,314.38 : x
  2. Step 2: Convert to fraction form
    106,592.63/229,314.38 = 229,314.38/x
  3. Step 3: Cross multiply
    106,592.63x = 229,314.38 × 229,314.38
  4. Step 4: Simplify right side
    106,592.63x = 52,585,082,581.64
  5. Step 5: Solve for x
    x = 52,585,082,581.64/106,592.63
  6. Step 6: Final answer
    x = 493,327.59

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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.