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Finding the Third Proportional to 226,995,013.50 and 472,106,532

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Solution

The third proportional to 226,995,013.50 and 472,106,532 is: 981,891,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,995,013.50 : 472,106,532 = 472,106,532 : x
  2. Step 2: Convert to fraction form
    226,995,013.50/472,106,532 = 472,106,532/x
  3. Step 3: Cross multiply
    226,995,013.50x = 472,106,532 × 472,106,532
  4. Step 4: Simplify right side
    226,995,013.50x = 222,884,577,557,067,008
  5. Step 5: Solve for x
    x = 222,884,577,557,067,008/226,995,013.50
  6. Step 6: Final answer
    x = 981,891,954.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.