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Finding the Third Proportional to 96,848,140,529 and 209,811,778,677

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Solution

The third proportional to 96,848,140,529 and 209,811,778,677 is: 454,536,165,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,848,140,529 : 209,811,778,677 = 209,811,778,677 : x
  2. Step 2: Convert to fraction form
    96,848,140,529/209,811,778,677 = 209,811,778,677/x
  3. Step 3: Cross multiply
    96,848,140,529x = 209,811,778,677 × 209,811,778,677
  4. Step 4: Simplify right side
    96,848,140,529x = 44,020,982,471,606,430,334,976
  5. Step 5: Solve for x
    x = 44,020,982,471,606,430,334,976/96,848,140,529
  6. Step 6: Final answer
    x = 454,536,165,910.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.