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Finding the Third Proportional to 115,945,749 and 252,724,677.75

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Solution

The third proportional to 115,945,749 and 252,724,677.75 is: 550,859,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,945,749 : 252,724,677.75 = 252,724,677.75 : x
  2. Step 2: Convert to fraction form
    115,945,749/252,724,677.75 = 252,724,677.75/x
  3. Step 3: Cross multiply
    115,945,749x = 252,724,677.75 × 252,724,677.75
  4. Step 4: Simplify right side
    115,945,749x = 63,869,762,743,841,344
  5. Step 5: Solve for x
    x = 63,869,762,743,841,344/115,945,749
  6. Step 6: Final answer
    x = 550,859,029.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.