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Finding the Third Proportional to 227,385,900 and 500,111,064

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Solution

The third proportional to 227,385,900 and 500,111,064 is: 1,099,941,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,385,900 : 500,111,064 = 500,111,064 : x
  2. Step 2: Convert to fraction form
    227,385,900/500,111,064 = 500,111,064/x
  3. Step 3: Cross multiply
    227,385,900x = 500,111,064 × 500,111,064
  4. Step 4: Simplify right side
    227,385,900x = 250,111,076,335,212,096
  5. Step 5: Solve for x
    x = 250,111,076,335,212,096/227,385,900
  6. Step 6: Final answer
    x = 1,099,941,009.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.