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Finding the Third Proportional to 46,153.13 and 108,889.31

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Solution

The third proportional to 46,153.13 and 108,889.31 is: 256,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,153.13 : 108,889.31 = 108,889.31 : x
  2. Step 2: Convert to fraction form
    46,153.13/108,889.31 = 108,889.31/x
  3. Step 3: Cross multiply
    46,153.13x = 108,889.31 × 108,889.31
  4. Step 4: Simplify right side
    46,153.13x = 11,856,882,376.72
  5. Step 5: Solve for x
    x = 11,856,882,376.72/46,153.13
  6. Step 6: Final answer
    x = 256,903.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.