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Finding the Third Proportional to 102,245.63 and 209,594.25

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Solution

The third proportional to 102,245.63 and 209,594.25 is: 429,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245.63 : 209,594.25 = 209,594.25 : x
  2. Step 2: Convert to fraction form
    102,245.63/209,594.25 = 209,594.25/x
  3. Step 3: Cross multiply
    102,245.63x = 209,594.25 × 209,594.25
  4. Step 4: Simplify right side
    102,245.63x = 43,929,749,633.06
  5. Step 5: Solve for x
    x = 43,929,749,633.06/102,245.63
  6. Step 6: Final answer
    x = 429,649.19

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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.