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Finding the Third Proportional to 96,795.56 and 207,599.06

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Solution

The third proportional to 96,795.56 and 207,599.06 is: 445,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795.56 : 207,599.06 = 207,599.06 : x
  2. Step 2: Convert to fraction form
    96,795.56/207,599.06 = 207,599.06/x
  3. Step 3: Cross multiply
    96,795.56x = 207,599.06 × 207,599.06
  4. Step 4: Simplify right side
    96,795.56x = 43,097,370,750.88
  5. Step 5: Solve for x
    x = 43,097,370,750.88/96,795.56
  6. Step 6: Final answer
    x = 445,241.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.