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Finding the Third Proportional to 96,497.25 and 212,627.25

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Solution

The third proportional to 96,497.25 and 212,627.25 is: 468,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,497.25 : 212,627.25 = 212,627.25 : x
  2. Step 2: Convert to fraction form
    96,497.25/212,627.25 = 212,627.25/x
  3. Step 3: Cross multiply
    96,497.25x = 212,627.25 × 212,627.25
  4. Step 4: Simplify right side
    96,497.25x = 45,210,347,442.56
  5. Step 5: Solve for x
    x = 45,210,347,442.56/96,497.25
  6. Step 6: Final answer
    x = 468,514.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.