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Finding the Third Proportional to 100,796,697 and 219,839,534

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Solution

The third proportional to 100,796,697 and 219,839,534 is: 479,474,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,796,697 : 219,839,534 = 219,839,534 : x
  2. Step 2: Convert to fraction form
    100,796,697/219,839,534 = 219,839,534/x
  3. Step 3: Cross multiply
    100,796,697x = 219,839,534 × 219,839,534
  4. Step 4: Simplify right side
    100,796,697x = 48,329,420,709,337,152
  5. Step 5: Solve for x
    x = 48,329,420,709,337,152/100,796,697
  6. Step 6: Final answer
    x = 479,474,250.13

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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.