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Finding the Third Proportional to 100,796,696 and 219,839,532

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Solution

The third proportional to 100,796,696 and 219,839,532 is: 479,474,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,796,696 : 219,839,532 = 219,839,532 : x
  2. Step 2: Convert to fraction form
    100,796,696/219,839,532 = 219,839,532/x
  3. Step 3: Cross multiply
    100,796,696x = 219,839,532 × 219,839,532
  4. Step 4: Simplify right side
    100,796,696x = 48,329,419,829,979,024
  5. Step 5: Solve for x
    x = 48,329,419,829,979,024/100,796,696
  6. Step 6: Final answer
    x = 479,474,246.16

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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.