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Finding the Third Proportional to 100,730,247 and 219,195,098

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Solution

The third proportional to 100,730,247 and 219,195,098 is: 476,981,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730,247 : 219,195,098 = 219,195,098 : x
  2. Step 2: Convert to fraction form
    100,730,247/219,195,098 = 219,195,098/x
  3. Step 3: Cross multiply
    100,730,247x = 219,195,098 × 219,195,098
  4. Step 4: Simplify right side
    100,730,247x = 48,046,490,987,229,600
  5. Step 5: Solve for x
    x = 48,046,490,987,229,600/100,730,247
  6. Step 6: Final answer
    x = 476,981,764.84

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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.