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Finding the Third Proportional to 96,597.25 and 207,477.25

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Solution

The third proportional to 96,597.25 and 207,477.25 is: 445,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597.25 : 207,477.25 = 207,477.25 : x
  2. Step 2: Convert to fraction form
    96,597.25/207,477.25 = 207,477.25/x
  3. Step 3: Cross multiply
    96,597.25x = 207,477.25 × 207,477.25
  4. Step 4: Simplify right side
    96,597.25x = 43,046,809,267.56
  5. Step 5: Solve for x
    x = 43,046,809,267.56/96,597.25
  6. Step 6: Final answer
    x = 445,631.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.