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Finding the Third Proportional to 103,165.88 and 217,529.86

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Solution

The third proportional to 103,165.88 and 217,529.86 is: 458,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.88 : 217,529.86 = 217,529.86 : x
  2. Step 2: Convert to fraction form
    103,165.88/217,529.86 = 217,529.86/x
  3. Step 3: Cross multiply
    103,165.88x = 217,529.86 × 217,529.86
  4. Step 4: Simplify right side
    103,165.88x = 47,319,239,719.71
  5. Step 5: Solve for x
    x = 47,319,239,719.71/103,165.88
  6. Step 6: Final answer
    x = 458,671.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.