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Finding the Third Proportional to 51,464.81 and 110,064.38

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Solution

The third proportional to 51,464.81 and 110,064.38 is: 235,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464.81 : 110,064.38 = 110,064.38 : x
  2. Step 2: Convert to fraction form
    51,464.81/110,064.38 = 110,064.38/x
  3. Step 3: Cross multiply
    51,464.81x = 110,064.38 × 110,064.38
  4. Step 4: Simplify right side
    51,464.81x = 12,114,166,644.14
  5. Step 5: Solve for x
    x = 12,114,166,644.14/51,464.81
  6. Step 6: Final answer
    x = 235,387.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.