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Finding the Third Proportional to 231,520,284 and 482,093,712

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Solution

The third proportional to 231,520,284 and 482,093,712 is: 1,003,861,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,520,284 : 482,093,712 = 482,093,712 : x
  2. Step 2: Convert to fraction form
    231,520,284/482,093,712 = 482,093,712/x
  3. Step 3: Cross multiply
    231,520,284x = 482,093,712 × 482,093,712
  4. Step 4: Simplify right side
    231,520,284x = 232,414,347,149,938,944
  5. Step 5: Solve for x
    x = 232,414,347,149,938,944/231,520,284
  6. Step 6: Final answer
    x = 1,003,861,705.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.