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Finding the Third Proportional to 104,739,933,218 and 229,758,057,028

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Solution

The third proportional to 104,739,933,218 and 229,758,057,028 is: 503,998,457,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,739,933,218 : 229,758,057,028 = 229,758,057,028 : x
  2. Step 2: Convert to fraction form
    104,739,933,218/229,758,057,028 = 229,758,057,028/x
  3. Step 3: Cross multiply
    104,739,933,218x = 229,758,057,028 × 229,758,057,028
  4. Step 4: Simplify right side
    104,739,933,218x = 52,788,764,769,281,697,120,256
  5. Step 5: Solve for x
    x = 52,788,764,769,281,697,120,256/104,739,933,218
  6. Step 6: Final answer
    x = 503,998,457,392.66

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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.