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Finding the Third Proportional to 159,803,747,283.50 and 347,739,398,636

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Solution

The third proportional to 159,803,747,283.50 and 347,739,398,636 is: 756,694,955,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803,747,283.50 : 347,739,398,636 = 347,739,398,636 : x
  2. Step 2: Convert to fraction form
    159,803,747,283.50/347,739,398,636 = 347,739,398,636/x
  3. Step 3: Cross multiply
    159,803,747,283.50x = 347,739,398,636 × 347,739,398,636
  4. Step 4: Simplify right side
    159,803,747,283.50x = 120,922,689,363,726,915,600,384
  5. Step 5: Solve for x
    x = 120,922,689,363,726,915,600,384/159,803,747,283.50
  6. Step 6: Final answer
    x = 756,694,955,026.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.