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Finding the Third Proportional to 77,074,230.80 and 179,846,082

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Solution

The third proportional to 77,074,230.80 and 179,846,082 is: 419,655,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074,230.80 : 179,846,082 = 179,846,082 : x
  2. Step 2: Convert to fraction form
    77,074,230.80/179,846,082 = 179,846,082/x
  3. Step 3: Cross multiply
    77,074,230.80x = 179,846,082 × 179,846,082
  4. Step 4: Simplify right side
    77,074,230.80x = 32,344,613,210,750,724
  5. Step 5: Solve for x
    x = 32,344,613,210,750,724/77,074,230.80
  6. Step 6: Final answer
    x = 419,655,348.83

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.