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Finding the Third Proportional to 49,903.75 and 109,468.75

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Solution

The third proportional to 49,903.75 and 109,468.75 is: 240,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903.75 : 109,468.75 = 109,468.75 : x
  2. Step 2: Convert to fraction form
    49,903.75/109,468.75 = 109,468.75/x
  3. Step 3: Cross multiply
    49,903.75x = 109,468.75 × 109,468.75
  4. Step 4: Simplify right side
    49,903.75x = 11,983,407,226.56
  5. Step 5: Solve for x
    x = 11,983,407,226.56/49,903.75
  6. Step 6: Final answer
    x = 240,130.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.