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Finding the Third Proportional to 104,735,182 and 226,131,465

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Solution

The third proportional to 104,735,182 and 226,131,465 is: 488,235,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,735,182 : 226,131,465 = 226,131,465 : x
  2. Step 2: Convert to fraction form
    104,735,182/226,131,465 = 226,131,465/x
  3. Step 3: Cross multiply
    104,735,182x = 226,131,465 × 226,131,465
  4. Step 4: Simplify right side
    104,735,182x = 51,135,439,463,046,224
  5. Step 5: Solve for x
    x = 51,135,439,463,046,224/104,735,182
  6. Step 6: Final answer
    x = 488,235,552.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.