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Finding the Third Proportional to 111,430.69 and 232,093.69

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Solution

The third proportional to 111,430.69 and 232,093.69 is: 483,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,430.69 : 232,093.69 = 232,093.69 : x
  2. Step 2: Convert to fraction form
    111,430.69/232,093.69 = 232,093.69/x
  3. Step 3: Cross multiply
    111,430.69x = 232,093.69 × 232,093.69
  4. Step 4: Simplify right side
    111,430.69x = 53,867,479,777.35
  5. Step 5: Solve for x
    x = 53,867,479,777.35/111,430.69
  6. Step 6: Final answer
    x = 483,416.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.