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Finding the Third Proportional to 84,132.50 and 196,601.75

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Solution

The third proportional to 84,132.50 and 196,601.75 is: 459,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,132.50 : 196,601.75 = 196,601.75 : x
  2. Step 2: Convert to fraction form
    84,132.50/196,601.75 = 196,601.75/x
  3. Step 3: Cross multiply
    84,132.50x = 196,601.75 × 196,601.75
  4. Step 4: Simplify right side
    84,132.50x = 38,652,248,103.06
  5. Step 5: Solve for x
    x = 38,652,248,103.06/84,132.50
  6. Step 6: Final answer
    x = 459,421.13

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.