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Finding the Third Proportional to 102,644,074.50 and 212,563,893

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Solution

The third proportional to 102,644,074.50 and 212,563,893 is: 440,195,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644,074.50 : 212,563,893 = 212,563,893 : x
  2. Step 2: Convert to fraction form
    102,644,074.50/212,563,893 = 212,563,893/x
  3. Step 3: Cross multiply
    102,644,074.50x = 212,563,893 × 212,563,893
  4. Step 4: Simplify right side
    102,644,074.50x = 45,183,408,607,315,448
  5. Step 5: Solve for x
    x = 45,183,408,607,315,448/102,644,074.50
  6. Step 6: Final answer
    x = 440,195,002.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.