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Finding the Third Proportional to 111,286.13 and 235,814.63

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Solution

The third proportional to 111,286.13 and 235,814.63 is: 499,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,286.13 : 235,814.63 = 235,814.63 : x
  2. Step 2: Convert to fraction form
    111,286.13/235,814.63 = 235,814.63/x
  3. Step 3: Cross multiply
    111,286.13x = 235,814.63 × 235,814.63
  4. Step 4: Simplify right side
    111,286.13x = 55,608,537,363.89
  5. Step 5: Solve for x
    x = 55,608,537,363.89/111,286.13
  6. Step 6: Final answer
    x = 499,689.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.