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Finding the Third Proportional to 102,925.69 and 217,076.84

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Solution

The third proportional to 102,925.69 and 217,076.84 is: 457,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925.69 : 217,076.84 = 217,076.84 : x
  2. Step 2: Convert to fraction form
    102,925.69/217,076.84 = 217,076.84/x
  3. Step 3: Cross multiply
    102,925.69x = 217,076.84 × 217,076.84
  4. Step 4: Simplify right side
    102,925.69x = 47,122,352,700.64
  5. Step 5: Solve for x
    x = 47,122,352,700.64/102,925.69
  6. Step 6: Final answer
    x = 457,828.88

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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.