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Finding the Third Proportional to 46,178,452.13 and 100,394,744.25

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Solution

The third proportional to 46,178,452.13 and 100,394,744.25 is: 218,264,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178,452.13 : 100,394,744.25 = 100,394,744.25 : x
  2. Step 2: Convert to fraction form
    46,178,452.13/100,394,744.25 = 100,394,744.25/x
  3. Step 3: Cross multiply
    46,178,452.13x = 100,394,744.25 × 100,394,744.25
  4. Step 4: Simplify right side
    46,178,452.13x = 10,079,104,673,022,908
  5. Step 5: Solve for x
    x = 10,079,104,673,022,908/46,178,452.13
  6. Step 6: Final answer
    x = 218,264,238.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.