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Finding the Third Proportional to 50,652.84 and 109,160.16

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Solution

The third proportional to 50,652.84 and 109,160.16 is: 235,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.84 : 109,160.16 = 109,160.16 : x
  2. Step 2: Convert to fraction form
    50,652.84/109,160.16 = 109,160.16/x
  3. Step 3: Cross multiply
    50,652.84x = 109,160.16 × 109,160.16
  4. Step 4: Simplify right side
    50,652.84x = 11,915,939,712.52
  5. Step 5: Solve for x
    x = 11,915,939,712.52/50,652.84
  6. Step 6: Final answer
    x = 235,247.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.