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Finding the Third Proportional to 231,126,867 and 512,087,809.50

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Solution

The third proportional to 231,126,867 and 512,087,809.50 is: 1,134,588,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,126,867 : 512,087,809.50 = 512,087,809.50 : x
  2. Step 2: Convert to fraction form
    231,126,867/512,087,809.50 = 512,087,809.50/x
  3. Step 3: Cross multiply
    231,126,867x = 512,087,809.50 × 512,087,809.50
  4. Step 4: Simplify right side
    231,126,867x = 262,233,924,638,508,288
  5. Step 5: Solve for x
    x = 262,233,924,638,508,288/231,126,867
  6. Step 6: Final answer
    x = 1,134,588,670.03

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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.