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Finding the Third Proportional to 109,464.75 and 227,130.75

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Solution

The third proportional to 109,464.75 and 227,130.75 is: 471,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464.75 : 227,130.75 = 227,130.75 : x
  2. Step 2: Convert to fraction form
    109,464.75/227,130.75 = 227,130.75/x
  3. Step 3: Cross multiply
    109,464.75x = 227,130.75 × 227,130.75
  4. Step 4: Simplify right side
    109,464.75x = 51,588,377,595.56
  5. Step 5: Solve for x
    x = 51,588,377,595.56/109,464.75
  6. Step 6: Final answer
    x = 471,278.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.