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Finding the Third Proportional to 100,796,694 and 219,839,528

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Solution

The third proportional to 100,796,694 and 219,839,528 is: 479,474,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,796,694 : 219,839,528 = 219,839,528 : x
  2. Step 2: Convert to fraction form
    100,796,694/219,839,528 = 219,839,528/x
  3. Step 3: Cross multiply
    100,796,694x = 219,839,528 × 219,839,528
  4. Step 4: Simplify right side
    100,796,694x = 48,329,418,071,262,784
  5. Step 5: Solve for x
    x = 48,329,418,071,262,784/100,796,694
  6. Step 6: Final answer
    x = 479,474,238.23

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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.