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Finding the Third Proportional to 103,491,297 and 210,023,739

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Solution

The third proportional to 103,491,297 and 210,023,739 is: 426,219,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,491,297 : 210,023,739 = 210,023,739 : x
  2. Step 2: Convert to fraction form
    103,491,297/210,023,739 = 210,023,739/x
  3. Step 3: Cross multiply
    103,491,297x = 210,023,739 × 210,023,739
  4. Step 4: Simplify right side
    103,491,297x = 44,109,970,943,540,120
  5. Step 5: Solve for x
    x = 44,109,970,943,540,120/103,491,297
  6. Step 6: Final answer
    x = 426,219,133.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.