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Finding the Third Proportional to 86,198,823 and 191,529,519

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Solution

The third proportional to 86,198,823 and 191,529,519 is: 425,569,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198,823 : 191,529,519 = 191,529,519 : x
  2. Step 2: Convert to fraction form
    86,198,823/191,529,519 = 191,529,519/x
  3. Step 3: Cross multiply
    86,198,823x = 191,529,519 × 191,529,519
  4. Step 4: Simplify right side
    86,198,823x = 36,683,556,648,371,360
  5. Step 5: Solve for x
    x = 36,683,556,648,371,360/86,198,823
  6. Step 6: Final answer
    x = 425,569,113.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.