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Finding the Third Proportional to 83,585,676 and 129,161,106

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Solution

The third proportional to 83,585,676 and 129,161,106 is: 199,586,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,585,676 : 129,161,106 = 129,161,106 : x
  2. Step 2: Convert to fraction form
    83,585,676/129,161,106 = 129,161,106/x
  3. Step 3: Cross multiply
    83,585,676x = 129,161,106 × 129,161,106
  4. Step 4: Simplify right side
    83,585,676x = 16,682,591,303,143,236
  5. Step 5: Solve for x
    x = 16,682,591,303,143,236/83,585,676
  6. Step 6: Final answer
    x = 199,586,724.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.