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Finding the Third Proportional to 41,123,914 and 90,319,588

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Solution

The third proportional to 41,123,914 and 90,319,588 is: 198,367,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,123,914 : 90,319,588 = 90,319,588 : x
  2. Step 2: Convert to fraction form
    41,123,914/90,319,588 = 90,319,588/x
  3. Step 3: Cross multiply
    41,123,914x = 90,319,588 × 90,319,588
  4. Step 4: Simplify right side
    41,123,914x = 8,157,627,976,489,744
  5. Step 5: Solve for x
    x = 8,157,627,976,489,744/41,123,914
  6. Step 6: Final answer
    x = 198,367,012.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.