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Finding the Third Proportional to 229,892,796 and 501,923,544

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Solution

The third proportional to 229,892,796 and 501,923,544 is: 1,095,846,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892,796 : 501,923,544 = 501,923,544 : x
  2. Step 2: Convert to fraction form
    229,892,796/501,923,544 = 501,923,544/x
  3. Step 3: Cross multiply
    229,892,796x = 501,923,544 × 501,923,544
  4. Step 4: Simplify right side
    229,892,796x = 251,927,244,021,519,936
  5. Step 5: Solve for x
    x = 251,927,244,021,519,936/229,892,796
  6. Step 6: Final answer
    x = 1,095,846,622.45

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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.