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Finding the Third Proportional to 111,938.06 and 230,446.13

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Solution

The third proportional to 111,938.06 and 230,446.13 is: 474,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,938.06 : 230,446.13 = 230,446.13 : x
  2. Step 2: Convert to fraction form
    111,938.06/230,446.13 = 230,446.13/x
  3. Step 3: Cross multiply
    111,938.06x = 230,446.13 × 230,446.13
  4. Step 4: Simplify right side
    111,938.06x = 53,105,416,527.52
  5. Step 5: Solve for x
    x = 53,105,416,527.52/111,938.06
  6. Step 6: Final answer
    x = 474,417.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.