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Finding the Third Proportional to 212,548.50 and 449,089.88

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Solution

The third proportional to 212,548.50 and 449,089.88 is: 948,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,548.50 : 449,089.88 = 449,089.88 : x
  2. Step 2: Convert to fraction form
    212,548.50/449,089.88 = 449,089.88/x
  3. Step 3: Cross multiply
    212,548.50x = 449,089.88 × 449,089.88
  4. Step 4: Simplify right side
    212,548.50x = 201,681,715,827.52
  5. Step 5: Solve for x
    x = 201,681,715,827.52/212,548.50
  6. Step 6: Final answer
    x = 948,873.86

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Why These Related Problems?

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