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Finding the Third Proportional to 105,544.47 and 215,392.06

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Solution

The third proportional to 105,544.47 and 215,392.06 is: 439,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,544.47 : 215,392.06 = 215,392.06 : x
  2. Step 2: Convert to fraction form
    105,544.47/215,392.06 = 215,392.06/x
  3. Step 3: Cross multiply
    105,544.47x = 215,392.06 × 215,392.06
  4. Step 4: Simplify right side
    105,544.47x = 46,393,740,588.00
  5. Step 5: Solve for x
    x = 46,393,740,588.00/105,544.47
  6. Step 6: Final answer
    x = 439,565.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.