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Finding the Third Proportional to 51,508.41 and 108,643.78

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Solution

The third proportional to 51,508.41 and 108,643.78 is: 229,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.41 : 108,643.78 = 108,643.78 : x
  2. Step 2: Convert to fraction form
    51,508.41/108,643.78 = 108,643.78/x
  3. Step 3: Cross multiply
    51,508.41x = 108,643.78 × 108,643.78
  4. Step 4: Simplify right side
    51,508.41x = 11,803,471,204.30
  5. Step 5: Solve for x
    x = 11,803,471,204.30/51,508.41
  6. Step 6: Final answer
    x = 229,156.21

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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.