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Finding the Third Proportional to 164,445,916 and 365,659,336

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Solution

The third proportional to 164,445,916 and 365,659,336 is: 813,074,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,445,916 : 365,659,336 = 365,659,336 : x
  2. Step 2: Convert to fraction form
    164,445,916/365,659,336 = 365,659,336/x
  3. Step 3: Cross multiply
    164,445,916x = 365,659,336 × 365,659,336
  4. Step 4: Simplify right side
    164,445,916x = 133,706,750,003,960,896
  5. Step 5: Solve for x
    x = 133,706,750,003,960,896/164,445,916
  6. Step 6: Final answer
    x = 813,074,311.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.