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Finding the Third Proportional to 83,886,519.50 and 179,431,571

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Solution

The third proportional to 83,886,519.50 and 179,431,571 is: 383,800,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886,519.50 : 179,431,571 = 179,431,571 : x
  2. Step 2: Convert to fraction form
    83,886,519.50/179,431,571 = 179,431,571/x
  3. Step 3: Cross multiply
    83,886,519.50x = 179,431,571 × 179,431,571
  4. Step 4: Simplify right side
    83,886,519.50x = 32,195,688,671,528,040
  5. Step 5: Solve for x
    x = 32,195,688,671,528,040/83,886,519.50
  6. Step 6: Final answer
    x = 383,800,506.49

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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.