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Finding the Third Proportional to 164,565,625 and 353,897,809

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Solution

The third proportional to 164,565,625 and 353,897,809 is: 761,056,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565,625 : 353,897,809 = 353,897,809 : x
  2. Step 2: Convert to fraction form
    164,565,625/353,897,809 = 353,897,809/x
  3. Step 3: Cross multiply
    164,565,625x = 353,897,809 × 353,897,809
  4. Step 4: Simplify right side
    164,565,625x = 125,243,659,215,000,480
  5. Step 5: Solve for x
    x = 125,243,659,215,000,480/164,565,625
  6. Step 6: Final answer
    x = 761,056,017.71

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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.