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Finding the Third Proportional to 101,164,198.50 and 238,732,418.25

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Solution

The third proportional to 101,164,198.50 and 238,732,418.25 is: 563,372,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,164,198.50 : 238,732,418.25 = 238,732,418.25 : x
  2. Step 2: Convert to fraction form
    101,164,198.50/238,732,418.25 = 238,732,418.25/x
  3. Step 3: Cross multiply
    101,164,198.50x = 238,732,418.25 × 238,732,418.25
  4. Step 4: Simplify right side
    101,164,198.50x = 56,993,167,523,492,936
  5. Step 5: Solve for x
    x = 56,993,167,523,492,936/101,164,198.50
  6. Step 6: Final answer
    x = 563,372,896.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.