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Finding the Third Proportional to 221,808,344 and 494,617,392

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Solution

The third proportional to 221,808,344 and 494,617,392 is: 1,102,962,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808,344 : 494,617,392 = 494,617,392 : x
  2. Step 2: Convert to fraction form
    221,808,344/494,617,392 = 494,617,392/x
  3. Step 3: Cross multiply
    221,808,344x = 494,617,392 × 494,617,392
  4. Step 4: Simplify right side
    221,808,344x = 244,646,364,468,881,664
  5. Step 5: Solve for x
    x = 244,646,364,468,881,664/221,808,344
  6. Step 6: Final answer
    x = 1,102,962,855.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.