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Finding the Third Proportional to 111,385.13 and 235,983.38

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Solution

The third proportional to 111,385.13 and 235,983.38 is: 499,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,385.13 : 235,983.38 = 235,983.38 : x
  2. Step 2: Convert to fraction form
    111,385.13/235,983.38 = 235,983.38/x
  3. Step 3: Cross multiply
    111,385.13x = 235,983.38 × 235,983.38
  4. Step 4: Simplify right side
    111,385.13x = 55,688,153,276.39
  5. Step 5: Solve for x
    x = 55,688,153,276.39/111,385.13
  6. Step 6: Final answer
    x = 499,960.41

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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.