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Finding the Third Proportional to 111,663 and 232,348.50

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Solution

The third proportional to 111,663 and 232,348.50 is: 483,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,663 : 232,348.50 = 232,348.50 : x
  2. Step 2: Convert to fraction form
    111,663/232,348.50 = 232,348.50/x
  3. Step 3: Cross multiply
    111,663x = 232,348.50 × 232,348.50
  4. Step 4: Simplify right side
    111,663x = 53,985,825,452.25
  5. Step 5: Solve for x
    x = 53,985,825,452.25/111,663
  6. Step 6: Final answer
    x = 483,471.03

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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.