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Finding the Third Proportional to 104,739,933,204 and 229,758,057,000

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Solution

The third proportional to 104,739,933,204 and 229,758,057,000 is: 503,998,457,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,739,933,204 : 229,758,057,000 = 229,758,057,000 : x
  2. Step 2: Convert to fraction form
    104,739,933,204/229,758,057,000 = 229,758,057,000/x
  3. Step 3: Cross multiply
    104,739,933,204x = 229,758,057,000 × 229,758,057,000
  4. Step 4: Simplify right side
    104,739,933,204x = 52,788,764,756,415,250,169,856
  5. Step 5: Solve for x
    x = 52,788,764,756,415,250,169,856/104,739,933,204
  6. Step 6: Final answer
    x = 503,998,457,337.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.