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Finding the Third Proportional to 176,994,814,234.50 and 389,293,320,519

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Solution

The third proportional to 176,994,814,234.50 and 389,293,320,519 is: 856,235,760,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,994,814,234.50 : 389,293,320,519 = 389,293,320,519 : x
  2. Step 2: Convert to fraction form
    176,994,814,234.50/389,293,320,519 = 389,293,320,519/x
  3. Step 3: Cross multiply
    176,994,814,234.50x = 389,293,320,519 × 389,293,320,519
  4. Step 4: Simplify right side
    176,994,814,234.50x = 151,549,289,400,708,873,846,784
  5. Step 5: Solve for x
    x = 151,549,289,400,708,873,846,784/176,994,814,234.50
  6. Step 6: Final answer
    x = 856,235,760,669.92

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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.