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Finding the Third Proportional to 98,408,906 and 211,421,958.50

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Solution

The third proportional to 98,408,906 and 211,421,958.50 is: 454,219,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408,906 : 211,421,958.50 = 211,421,958.50 : x
  2. Step 2: Convert to fraction form
    98,408,906/211,421,958.50 = 211,421,958.50/x
  3. Step 3: Cross multiply
    98,408,906x = 211,421,958.50 × 211,421,958.50
  4. Step 4: Simplify right side
    98,408,906x = 44,699,244,535,975,720
  5. Step 5: Solve for x
    x = 44,699,244,535,975,720/98,408,906
  6. Step 6: Final answer
    x = 454,219,504.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.