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Finding the Third Proportional to 99,016.31 and 212,959.69

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Solution

The third proportional to 99,016.31 and 212,959.69 is: 458,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,016.31 : 212,959.69 = 212,959.69 : x
  2. Step 2: Convert to fraction form
    99,016.31/212,959.69 = 212,959.69/x
  3. Step 3: Cross multiply
    99,016.31x = 212,959.69 × 212,959.69
  4. Step 4: Simplify right side
    99,016.31x = 45,351,828,500.10
  5. Step 5: Solve for x
    x = 45,351,828,500.10/99,016.31
  6. Step 6: Final answer
    x = 458,023.81

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