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Finding the Third Proportional to 123,086,224 and 194,903,902.50

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Solution

The third proportional to 123,086,224 and 194,903,902.50 is: 308,625,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086,224 : 194,903,902.50 = 194,903,902.50 : x
  2. Step 2: Convert to fraction form
    123,086,224/194,903,902.50 = 194,903,902.50/x
  3. Step 3: Cross multiply
    123,086,224x = 194,903,902.50 × 194,903,902.50
  4. Step 4: Simplify right side
    123,086,224x = 37,987,531,209,729,504
  5. Step 5: Solve for x
    x = 37,987,531,209,729,504/123,086,224
  6. Step 6: Final answer
    x = 308,625,368.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.