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Finding the Third Proportional to 102,556.13 and 221,514.75

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Solution

The third proportional to 102,556.13 and 221,514.75 is: 478,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,556.13 : 221,514.75 = 221,514.75 : x
  2. Step 2: Convert to fraction form
    102,556.13/221,514.75 = 221,514.75/x
  3. Step 3: Cross multiply
    102,556.13x = 221,514.75 × 221,514.75
  4. Step 4: Simplify right side
    102,556.13x = 49,068,784,467.56
  5. Step 5: Solve for x
    x = 49,068,784,467.56/102,556.13
  6. Step 6: Final answer
    x = 478,457.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.