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Finding the Third Proportional to 83,194,491 and 129,828,183

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Solution

The third proportional to 83,194,491 and 129,828,183 is: 202,601,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194,491 : 129,828,183 = 129,828,183 : x
  2. Step 2: Convert to fraction form
    83,194,491/129,828,183 = 129,828,183/x
  3. Step 3: Cross multiply
    83,194,491x = 129,828,183 × 129,828,183
  4. Step 4: Simplify right side
    83,194,491x = 16,855,357,101,081,488
  5. Step 5: Solve for x
    x = 16,855,357,101,081,488/83,194,491
  6. Step 6: Final answer
    x = 202,601,841.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.