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Finding the Third Proportional to 51,184.93 and 106,456.87

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Solution

The third proportional to 51,184.93 and 106,456.87 is: 221,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,184.93 : 106,456.87 = 106,456.87 : x
  2. Step 2: Convert to fraction form
    51,184.93/106,456.87 = 106,456.87/x
  3. Step 3: Cross multiply
    51,184.93x = 106,456.87 × 106,456.87
  4. Step 4: Simplify right side
    51,184.93x = 11,333,065,221.14
  5. Step 5: Solve for x
    x = 11,333,065,221.14/51,184.93
  6. Step 6: Final answer
    x = 221,414.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.