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Finding the Third Proportional to 41,005,467 and 90,196,470

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Solution

The third proportional to 41,005,467 and 90,196,470 is: 198,398,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,005,467 : 90,196,470 = 90,196,470 : x
  2. Step 2: Convert to fraction form
    41,005,467/90,196,470 = 90,196,470/x
  3. Step 3: Cross multiply
    41,005,467x = 90,196,470 × 90,196,470
  4. Step 4: Simplify right side
    41,005,467x = 8,135,403,200,460,900
  5. Step 5: Solve for x
    x = 8,135,403,200,460,900/41,005,467
  6. Step 6: Final answer
    x = 198,398,013.62

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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.