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Finding the Third Proportional to 105,548.06 and 215,394.19

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Solution

The third proportional to 105,548.06 and 215,394.19 is: 439,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,548.06 : 215,394.19 = 215,394.19 : x
  2. Step 2: Convert to fraction form
    105,548.06/215,394.19 = 215,394.19/x
  3. Step 3: Cross multiply
    105,548.06x = 215,394.19 × 215,394.19
  4. Step 4: Simplify right side
    105,548.06x = 46,394,656,008.79
  5. Step 5: Solve for x
    x = 46,394,656,008.79/105,548.06
  6. Step 6: Final answer
    x = 439,559.52

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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.