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Finding the Third Proportional to 103,651,296 and 226,828,224

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Solution

The third proportional to 103,651,296 and 226,828,224 is: 496,385,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,651,296 : 226,828,224 = 226,828,224 : x
  2. Step 2: Convert to fraction form
    103,651,296/226,828,224 = 226,828,224/x
  3. Step 3: Cross multiply
    103,651,296x = 226,828,224 × 226,828,224
  4. Step 4: Simplify right side
    103,651,296x = 51,451,043,202,994,176
  5. Step 5: Solve for x
    x = 51,451,043,202,994,176/103,651,296
  6. Step 6: Final answer
    x = 496,385,913.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.