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Finding the Third Proportional to 100,127,859.75 and 207,929,524.50

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Solution

The third proportional to 100,127,859.75 and 207,929,524.50 is: 431,794,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,127,859.75 : 207,929,524.50 = 207,929,524.50 : x
  2. Step 2: Convert to fraction form
    100,127,859.75/207,929,524.50 = 207,929,524.50/x
  3. Step 3: Cross multiply
    100,127,859.75x = 207,929,524.50 × 207,929,524.50
  4. Step 4: Simplify right side
    100,127,859.75x = 43,234,687,158,796,104
  5. Step 5: Solve for x
    x = 43,234,687,158,796,104/100,127,859.75
  6. Step 6: Final answer
    x = 431,794,779.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.