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Finding the Third Proportional to 83,079,176 and 181,794,832

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Solution

The third proportional to 83,079,176 and 181,794,832 is: 397,805,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079,176 : 181,794,832 = 181,794,832 : x
  2. Step 2: Convert to fraction form
    83,079,176/181,794,832 = 181,794,832/x
  3. Step 3: Cross multiply
    83,079,176x = 181,794,832 × 181,794,832
  4. Step 4: Simplify right side
    83,079,176x = 33,049,360,941,908,224
  5. Step 5: Solve for x
    x = 33,049,360,941,908,224/83,079,176
  6. Step 6: Final answer
    x = 397,805,593.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.