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Finding the Third Proportional to 115,493,288.25 and 240,540,212.25

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Solution

The third proportional to 115,493,288.25 and 240,540,212.25 is: 500,977,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,493,288.25 : 240,540,212.25 = 240,540,212.25 : x
  2. Step 2: Convert to fraction form
    115,493,288.25/240,540,212.25 = 240,540,212.25/x
  3. Step 3: Cross multiply
    115,493,288.25x = 240,540,212.25 × 240,540,212.25
  4. Step 4: Simplify right side
    115,493,288.25x = 57,859,593,709,275,048
  5. Step 5: Solve for x
    x = 57,859,593,709,275,048/115,493,288.25
  6. Step 6: Final answer
    x = 500,977,975.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.