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Finding the Third Proportional to 173,024,383.50 and 259,571,020.50

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Solution

The third proportional to 173,024,383.50 and 259,571,020.50 is: 389,408,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,024,383.50 : 259,571,020.50 = 259,571,020.50 : x
  2. Step 2: Convert to fraction form
    173,024,383.50/259,571,020.50 = 259,571,020.50/x
  3. Step 3: Cross multiply
    173,024,383.50x = 259,571,020.50 × 259,571,020.50
  4. Step 4: Simplify right side
    173,024,383.50x = 67,377,114,683,411,424
  5. Step 5: Solve for x
    x = 67,377,114,683,411,424/173,024,383.50
  6. Step 6: Final answer
    x = 389,408,205.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.