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Finding the Third Proportional to 185,136,229 and 398,134,838

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Solution

The third proportional to 185,136,229 and 398,134,838 is: 856,187,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136,229 : 398,134,838 = 398,134,838 : x
  2. Step 2: Convert to fraction form
    185,136,229/398,134,838 = 398,134,838/x
  3. Step 3: Cross multiply
    185,136,229x = 398,134,838 × 398,134,838
  4. Step 4: Simplify right side
    185,136,229x = 158,511,349,229,286,240
  5. Step 5: Solve for x
    x = 158,511,349,229,286,240/185,136,229
  6. Step 6: Final answer
    x = 856,187,630.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.