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Finding the Third Proportional to 242,819,311.50 and 534,055,092.75

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Solution

The third proportional to 242,819,311.50 and 534,055,092.75 is: 1,174,597,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,819,311.50 : 534,055,092.75 = 534,055,092.75 : x
  2. Step 2: Convert to fraction form
    242,819,311.50/534,055,092.75 = 534,055,092.75/x
  3. Step 3: Cross multiply
    242,819,311.50x = 534,055,092.75 × 534,055,092.75
  4. Step 4: Simplify right side
    242,819,311.50x = 285,214,842,092,211,104
  5. Step 5: Solve for x
    x = 285,214,842,092,211,104/242,819,311.50
  6. Step 6: Final answer
    x = 1,174,597,029.91

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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.