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Finding the Third Proportional to 231,126,864 and 512,087,805

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Solution

The third proportional to 231,126,864 and 512,087,805 is: 1,134,588,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,126,864 : 512,087,805 = 512,087,805 : x
  2. Step 2: Convert to fraction form
    231,126,864/512,087,805 = 512,087,805/x
  3. Step 3: Cross multiply
    231,126,864x = 512,087,805 × 512,087,805
  4. Step 4: Simplify right side
    231,126,864x = 262,233,920,029,718,016
  5. Step 5: Solve for x
    x = 262,233,920,029,718,016/231,126,864
  6. Step 6: Final answer
    x = 1,134,588,664.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.