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Finding the Third Proportional to 96,394.50 and 215,145

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Solution

The third proportional to 96,394.50 and 215,145 is: 480,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394.50 : 215,145 = 215,145 : x
  2. Step 2: Convert to fraction form
    96,394.50/215,145 = 215,145/x
  3. Step 3: Cross multiply
    96,394.50x = 215,145 × 215,145
  4. Step 4: Simplify right side
    96,394.50x = 46,287,371,025
  5. Step 5: Solve for x
    x = 46,287,371,025/96,394.50
  6. Step 6: Final answer
    x = 480,186.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.