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Finding the Third Proportional to 96,250,456 and 200,432,424

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Solution

The third proportional to 96,250,456 and 200,432,424 is: 417,381,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250,456 : 200,432,424 = 200,432,424 : x
  2. Step 2: Convert to fraction form
    96,250,456/200,432,424 = 200,432,424/x
  3. Step 3: Cross multiply
    96,250,456x = 200,432,424 × 200,432,424
  4. Step 4: Simplify right side
    96,250,456x = 40,173,156,590,515,776
  5. Step 5: Solve for x
    x = 40,173,156,590,515,776/96,250,456
  6. Step 6: Final answer
    x = 417,381,467.68

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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.