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Finding the Third Proportional to 281,970,513.75 and 431,060,245.50

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Solution

The third proportional to 281,970,513.75 and 431,060,245.50 is: 658,980,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970,513.75 : 431,060,245.50 = 431,060,245.50 : x
  2. Step 2: Convert to fraction form
    281,970,513.75/431,060,245.50 = 431,060,245.50/x
  3. Step 3: Cross multiply
    281,970,513.75x = 431,060,245.50 × 431,060,245.50
  4. Step 4: Simplify right side
    281,970,513.75x = 185,812,935,250,520,256
  5. Step 5: Solve for x
    x = 185,812,935,250,520,256/281,970,513.75
  6. Step 6: Final answer
    x = 658,980,021.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.