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Finding the Third Proportional to 111,513.38 and 233,931.38

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Solution

The third proportional to 111,513.38 and 233,931.38 is: 490,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,513.38 : 233,931.38 = 233,931.38 : x
  2. Step 2: Convert to fraction form
    111,513.38/233,931.38 = 233,931.38/x
  3. Step 3: Cross multiply
    111,513.38x = 233,931.38 × 233,931.38
  4. Step 4: Simplify right side
    111,513.38x = 54,723,888,209.39
  5. Step 5: Solve for x
    x = 54,723,888,209.39/111,513.38
  6. Step 6: Final answer
    x = 490,738.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.