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Finding the Third Proportional to 41,964,186 and 90,305,664

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Solution

The third proportional to 41,964,186 and 90,305,664 is: 194,335,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964,186 : 90,305,664 = 90,305,664 : x
  2. Step 2: Convert to fraction form
    41,964,186/90,305,664 = 90,305,664/x
  3. Step 3: Cross multiply
    41,964,186x = 90,305,664 × 90,305,664
  4. Step 4: Simplify right side
    41,964,186x = 8,155,112,950,480,896
  5. Step 5: Solve for x
    x = 8,155,112,950,480,896/41,964,186
  6. Step 6: Final answer
    x = 194,335,068.25

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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.