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Finding the Third Proportional to 96,410.25 and 197,518.50

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Solution

The third proportional to 96,410.25 and 197,518.50 is: 404,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410.25 : 197,518.50 = 197,518.50 : x
  2. Step 2: Convert to fraction form
    96,410.25/197,518.50 = 197,518.50/x
  3. Step 3: Cross multiply
    96,410.25x = 197,518.50 × 197,518.50
  4. Step 4: Simplify right side
    96,410.25x = 39,013,557,842.25
  5. Step 5: Solve for x
    x = 39,013,557,842.25/96,410.25
  6. Step 6: Final answer
    x = 404,661.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.