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Finding the Third Proportional to 103,796,804 and 228,313,327

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Solution

The third proportional to 103,796,804 and 228,313,327 is: 502,202,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,796,804 : 228,313,327 = 228,313,327 : x
  2. Step 2: Convert to fraction form
    103,796,804/228,313,327 = 228,313,327/x
  3. Step 3: Cross multiply
    103,796,804x = 228,313,327 × 228,313,327
  4. Step 4: Simplify right side
    103,796,804x = 52,126,975,285,808,928
  5. Step 5: Solve for x
    x = 52,126,975,285,808,928/103,796,804
  6. Step 6: Final answer
    x = 502,202,122.58

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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.