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Finding the Third Proportional to 48,150.31 and 116,512.21

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Solution

The third proportional to 48,150.31 and 116,512.21 is: 281,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,150.31 : 116,512.21 = 116,512.21 : x
  2. Step 2: Convert to fraction form
    48,150.31/116,512.21 = 116,512.21/x
  3. Step 3: Cross multiply
    48,150.31x = 116,512.21 × 116,512.21
  4. Step 4: Simplify right side
    48,150.31x = 13,575,095,411.33
  5. Step 5: Solve for x
    x = 13,575,095,411.33/48,150.31
  6. Step 6: Final answer
    x = 281,931.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.