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Finding the Third Proportional to 218,152,710 and 347,291,625

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Solution

The third proportional to 218,152,710 and 347,291,625 is: 552,876,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,152,710 : 347,291,625 = 347,291,625 : x
  2. Step 2: Convert to fraction form
    218,152,710/347,291,625 = 347,291,625/x
  3. Step 3: Cross multiply
    218,152,710x = 347,291,625 × 347,291,625
  4. Step 4: Simplify right side
    218,152,710x = 120,611,472,795,140,624
  5. Step 5: Solve for x
    x = 120,611,472,795,140,624/218,152,710
  6. Step 6: Final answer
    x = 552,876,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.