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Finding the Third Proportional to 218,410.88 and 467,182.13

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Solution

The third proportional to 218,410.88 and 467,182.13 is: 999,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,410.88 : 467,182.13 = 467,182.13 : x
  2. Step 2: Convert to fraction form
    218,410.88/467,182.13 = 467,182.13/x
  3. Step 3: Cross multiply
    218,410.88x = 467,182.13 × 467,182.13
  4. Step 4: Simplify right side
    218,410.88x = 218,259,137,919.52
  5. Step 5: Solve for x
    x = 218,259,137,919.52/218,410.88
  6. Step 6: Final answer
    x = 999,305.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.