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Finding the Third Proportional to 118,189.13 and 181,657.69

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Solution

The third proportional to 118,189.13 and 181,657.69 is: 279,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,189.13 : 181,657.69 = 181,657.69 : x
  2. Step 2: Convert to fraction form
    118,189.13/181,657.69 = 181,657.69/x
  3. Step 3: Cross multiply
    118,189.13x = 181,657.69 × 181,657.69
  4. Step 4: Simplify right side
    118,189.13x = 32,999,515,427.85
  5. Step 5: Solve for x
    x = 32,999,515,427.85/118,189.13
  6. Step 6: Final answer
    x = 279,209.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.