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Finding the Third Proportional to 100,714.50 and 219,411

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Solution

The third proportional to 100,714.50 and 219,411 is: 477,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.50 : 219,411 = 219,411 : x
  2. Step 2: Convert to fraction form
    100,714.50/219,411 = 219,411/x
  3. Step 3: Cross multiply
    100,714.50x = 219,411 × 219,411
  4. Step 4: Simplify right side
    100,714.50x = 48,141,186,921
  5. Step 5: Solve for x
    x = 48,141,186,921/100,714.50
  6. Step 6: Final answer
    x = 477,996.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.