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Finding the Third Proportional to 96,166.88 and 209,265.38

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Solution

The third proportional to 96,166.88 and 209,265.38 is: 455,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,166.88 : 209,265.38 = 209,265.38 : x
  2. Step 2: Convert to fraction form
    96,166.88/209,265.38 = 209,265.38/x
  3. Step 3: Cross multiply
    96,166.88x = 209,265.38 × 209,265.38
  4. Step 4: Simplify right side
    96,166.88x = 43,791,997,173.89
  5. Step 5: Solve for x
    x = 43,791,997,173.89/96,166.88
  6. Step 6: Final answer
    x = 455,375.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.