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Finding the Third Proportional to 164,445,918 and 365,659,344

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Solution

The third proportional to 164,445,918 and 365,659,344 is: 813,074,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,445,918 : 365,659,344 = 365,659,344 : x
  2. Step 2: Convert to fraction form
    164,445,918/365,659,344 = 365,659,344/x
  3. Step 3: Cross multiply
    164,445,918x = 365,659,344 × 365,659,344
  4. Step 4: Simplify right side
    164,445,918x = 133,706,755,854,510,336
  5. Step 5: Solve for x
    x = 133,706,755,854,510,336/164,445,918
  6. Step 6: Final answer
    x = 813,074,337.63

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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.