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Finding the Third Proportional to 229,892,794 and 501,923,540

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Solution

The third proportional to 229,892,794 and 501,923,540 is: 1,095,846,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892,794 : 501,923,540 = 501,923,540 : x
  2. Step 2: Convert to fraction form
    229,892,794/501,923,540 = 501,923,540/x
  3. Step 3: Cross multiply
    229,892,794x = 501,923,540 × 501,923,540
  4. Step 4: Simplify right side
    229,892,794x = 251,927,240,006,131,584
  5. Step 5: Solve for x
    x = 251,927,240,006,131,584/229,892,794
  6. Step 6: Final answer
    x = 1,095,846,614.51

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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.