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Finding the Third Proportional to 96,664.50 and 212,958

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Solution

The third proportional to 96,664.50 and 212,958 is: 469,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,664.50 : 212,958 = 212,958 : x
  2. Step 2: Convert to fraction form
    96,664.50/212,958 = 212,958/x
  3. Step 3: Cross multiply
    96,664.50x = 212,958 × 212,958
  4. Step 4: Simplify right side
    96,664.50x = 45,351,109,764
  5. Step 5: Solve for x
    x = 45,351,109,764/96,664.50
  6. Step 6: Final answer
    x = 469,159.93

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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.