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Finding the Third Proportional to 103,018,589 and 218,318,074

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Solution

The third proportional to 103,018,589 and 218,318,074 is: 462,661,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,018,589 : 218,318,074 = 218,318,074 : x
  2. Step 2: Convert to fraction form
    103,018,589/218,318,074 = 218,318,074/x
  3. Step 3: Cross multiply
    103,018,589x = 218,318,074 × 218,318,074
  4. Step 4: Simplify right side
    103,018,589x = 47,662,781,435,069,472
  5. Step 5: Solve for x
    x = 47,662,781,435,069,472/103,018,589
  6. Step 6: Final answer
    x = 462,661,951.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.