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Finding the Third Proportional to 226,995,016 and 472,106,538

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Solution

The third proportional to 226,995,016 and 472,106,538 is: 981,891,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,995,016 : 472,106,538 = 472,106,538 : x
  2. Step 2: Convert to fraction form
    226,995,016/472,106,538 = 472,106,538/x
  3. Step 3: Cross multiply
    226,995,016x = 472,106,538 × 472,106,538
  4. Step 4: Simplify right side
    226,995,016x = 222,884,583,222,345,440
  5. Step 5: Solve for x
    x = 222,884,583,222,345,440/226,995,016
  6. Step 6: Final answer
    x = 981,891,969.04

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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.