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Finding the Third Proportional to 100,851.35 and 219,445.91

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Solution

The third proportional to 100,851.35 and 219,445.91 is: 477,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,851.35 : 219,445.91 = 219,445.91 : x
  2. Step 2: Convert to fraction form
    100,851.35/219,445.91 = 219,445.91/x
  3. Step 3: Cross multiply
    100,851.35x = 219,445.91 × 219,445.91
  4. Step 4: Simplify right side
    100,851.35x = 48,156,506,519.95
  5. Step 5: Solve for x
    x = 48,156,506,519.95/100,851.35
  6. Step 6: Final answer
    x = 477,499.88

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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.