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Finding the Third Proportional to 41,900,900 and 90,205,549

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Solution

The third proportional to 41,900,900 and 90,205,549 is: 194,197,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,900,900 : 90,205,549 = 90,205,549 : x
  2. Step 2: Convert to fraction form
    41,900,900/90,205,549 = 90,205,549/x
  3. Step 3: Cross multiply
    41,900,900x = 90,205,549 × 90,205,549
  4. Step 4: Simplify right side
    41,900,900x = 8,137,041,070,391,401
  5. Step 5: Solve for x
    x = 8,137,041,070,391,401/41,900,900
  6. Step 6: Final answer
    x = 194,197,286.23

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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.