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Finding the Third Proportional to 103,658.63 and 217,761.75

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Solution

The third proportional to 103,658.63 and 217,761.75 is: 457,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.63 : 217,761.75 = 217,761.75 : x
  2. Step 2: Convert to fraction form
    103,658.63/217,761.75 = 217,761.75/x
  3. Step 3: Cross multiply
    103,658.63x = 217,761.75 × 217,761.75
  4. Step 4: Simplify right side
    103,658.63x = 47,420,179,763.06
  5. Step 5: Solve for x
    x = 47,420,179,763.06/103,658.63
  6. Step 6: Final answer
    x = 457,464.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.