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Finding the Third Proportional to 212,443,589 and 457,172,230

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Solution

The third proportional to 212,443,589 and 457,172,230 is: 983,820,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443,589 : 457,172,230 = 457,172,230 : x
  2. Step 2: Convert to fraction form
    212,443,589/457,172,230 = 457,172,230/x
  3. Step 3: Cross multiply
    212,443,589x = 457,172,230 × 457,172,230
  4. Step 4: Simplify right side
    212,443,589x = 209,006,447,883,172,896
  5. Step 5: Solve for x
    x = 209,006,447,883,172,896/212,443,589
  6. Step 6: Final answer
    x = 983,820,923.32

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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.