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Finding the Third Proportional to 102,228.75 and 209,557.13

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Solution

The third proportional to 102,228.75 and 209,557.13 is: 429,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,228.75 : 209,557.13 = 209,557.13 : x
  2. Step 2: Convert to fraction form
    102,228.75/209,557.13 = 209,557.13/x
  3. Step 3: Cross multiply
    102,228.75x = 209,557.13 × 209,557.13
  4. Step 4: Simplify right side
    102,228.75x = 43,914,188,638.27
  5. Step 5: Solve for x
    x = 43,914,188,638.27/102,228.75
  6. Step 6: Final answer
    x = 429,567.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.