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Finding the Third Proportional to 226,816,266 and 494,684,736

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Solution

The third proportional to 226,816,266 and 494,684,736 is: 1,078,904,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,816,266 : 494,684,736 = 494,684,736 : x
  2. Step 2: Convert to fraction form
    226,816,266/494,684,736 = 494,684,736/x
  3. Step 3: Cross multiply
    226,816,266x = 494,684,736 × 494,684,736
  4. Step 4: Simplify right side
    226,816,266x = 244,712,988,031,389,696
  5. Step 5: Solve for x
    x = 244,712,988,031,389,696/226,816,266
  6. Step 6: Final answer
    x = 1,078,904,050.17

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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.