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Finding the Third Proportional to 41,720,985 and 90,624,189

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Solution

The third proportional to 41,720,985 and 90,624,189 is: 196,849,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,720,985 : 90,624,189 = 90,624,189 : x
  2. Step 2: Convert to fraction form
    41,720,985/90,624,189 = 90,624,189/x
  3. Step 3: Cross multiply
    41,720,985x = 90,624,189 × 90,624,189
  4. Step 4: Simplify right side
    41,720,985x = 8,212,743,631,907,721
  5. Step 5: Solve for x
    x = 8,212,743,631,907,721/41,720,985
  6. Step 6: Final answer
    x = 196,849,226.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.