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Finding the Third Proportional to 100,730,245 and 219,195,094

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Solution

The third proportional to 100,730,245 and 219,195,094 is: 476,981,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730,245 : 219,195,094 = 219,195,094 : x
  2. Step 2: Convert to fraction form
    100,730,245/219,195,094 = 219,195,094/x
  3. Step 3: Cross multiply
    100,730,245x = 219,195,094 × 219,195,094
  4. Step 4: Simplify right side
    100,730,245x = 48,046,489,233,668,832
  5. Step 5: Solve for x
    x = 48,046,489,233,668,832/100,730,245
  6. Step 6: Final answer
    x = 476,981,756.91

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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.