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Finding the Third Proportional to 96,455.81 and 204,575.63

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Solution

The third proportional to 96,455.81 and 204,575.63 is: 433,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,455.81 : 204,575.63 = 204,575.63 : x
  2. Step 2: Convert to fraction form
    96,455.81/204,575.63 = 204,575.63/x
  3. Step 3: Cross multiply
    96,455.81x = 204,575.63 × 204,575.63
  4. Step 4: Simplify right side
    96,455.81x = 41,851,186,344.14
  5. Step 5: Solve for x
    x = 41,851,186,344.14/96,455.81
  6. Step 6: Final answer
    x = 433,889.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.