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Finding the Third Proportional to 119,457,043,744 and 255,953,003,472

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Solution

The third proportional to 119,457,043,744 and 255,953,003,472 is: 548,414,207,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,457,043,744 : 255,953,003,472 = 255,953,003,472 : x
  2. Step 2: Convert to fraction form
    119,457,043,744/255,953,003,472 = 255,953,003,472/x
  3. Step 3: Cross multiply
    119,457,043,744x = 255,953,003,472 × 255,953,003,472
  4. Step 4: Simplify right side
    119,457,043,744x = 65,511,939,986,337,640,218,624
  5. Step 5: Solve for x
    x = 65,511,939,986,337,640,218,624/119,457,043,744
  6. Step 6: Final answer
    x = 548,414,207,593.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.