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Finding the Third Proportional to 118,864.13 and 161,893.13

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Solution

The third proportional to 118,864.13 and 161,893.13 is: 220,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,864.13 : 161,893.13 = 161,893.13 : x
  2. Step 2: Convert to fraction form
    118,864.13/161,893.13 = 161,893.13/x
  3. Step 3: Cross multiply
    118,864.13x = 161,893.13 × 161,893.13
  4. Step 4: Simplify right side
    118,864.13x = 26,209,383,922.27
  5. Step 5: Solve for x
    x = 26,209,383,922.27/118,864.13
  6. Step 6: Final answer
    x = 220,498.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.